DSP Lab 2

This commit is contained in:
Adog64 2024-02-23 21:42:45 -05:00
parent 2d4bbf49a4
commit c66e0cb8cc
200 changed files with 53329 additions and 320 deletions

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% Signal (a)
% n_a = 0:12;
% x_a = zeros(size(n_a));
% x_a(n_a == 5) = 1;
% x_a(n_a == 8) = -2;
% x_a(n_a == 11) = 6;
% figure;
% stem(n_a, x_a);
% xlabel('n');
% ylabel('Amplitude');
% title('\delta(n-5) - 2\delta(n-8) + 6\delta(n-11)');
% grid on;
% % Signal (b)
% n_b = 0:15;
% x_b = zeros(size(n_b));
% x_b(n_b >= 3) = 1;
% x_b(n_b >= 8) = x_b(n_b >= 8) - 2;
% x_b(n_b >= 12) = x_b(n_b >= 12) + 1;
% figure;
% stem(n_b, x_b);
% xlabel('n');
% clc;
% ylabel('Amplitude');
% title('u(n-3) - 2u(n-8) + u(n-12)');
% grid on;
% % Signal (c)
% n_c = 0:20;
% x_c = n_c .* (n_c >= 0);
% figure;
% stem(n_c, x_c);
% xlabel('n');
% ylabel('Amplitude');
% title('nu(n)');
% grid on;
%
% % Signal (d)
% n_d = 0:10;
% x_d = n_d.^2 .* (n_d >= 0);
% figure;
% stem(n_d, x_d);
% xlabel('n');
% ylabel('Amplitude');
% title('n^2u(n)');
% grid on;
%
% % Signal (e)
n_e = 0:30;
x_e = 3 .* (n_e - 3).^2 .* exp(-0.3 * n_e) .* sin(2 * n_e / 3) .* (n_e >= 0);
figure;
stem(n_e, x_e);
xlabel('n');
ylabel('Amplitude');
title('3(n-3)^2 e^{-0.3n} sin(2n/3)u(n)');
grid on;

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% 4a
% % Define the signal
% n = 0:50;
% a = pi/4;
% a^2
% x = 5*cos(a^2 * n).*heaviside(n);
%
% % Plot
% stem(n, x);
% xlabel('n');
% ylabel('x(n)');
% title('Signal x(n) = 5cos(\pi^2n/16)u(n)');
% 4b
% Define the signal
A = 5;
b = (1 + 1j) / 2;
x = A * abs(b).^n .* heaviside(n);
% Plot
stem(n, x);
xlabel('n');
ylabel('x(n)');
title('Signal x(n) = 5|b|^n u(n)');

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\documentclass{IEEEtran}[journal] \documentclass{article}
\usepackage{amsmath} \usepackage{amsmath}
\usepackage{graphicx} \usepackage{graphicx}
\usepackage{listings} \usepackage{listings}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{float}
\usepackage[margin=1in]{geometry}
\title{Analyzing and Operating on Discrete Time Signals in MATLAB\textsuperscript{\tiny\textregistered}}
\title{}
\author{Aidan Sharpe \& Elise Heim} \author{Aidan Sharpe \& Elise Heim}
\DeclareMathOperator{\sinc}{sinc} \DeclareMathOperator{\sinc}{sinc}
\begin{document} \begin{document}
\begin{titlepage}
\maketitle \maketitle
\end{titlepage}
\begin{abstract} \begin{abstract}
This lab includes a variety of exercises to enhance knowledge and understanding of digital signal responses. The first couple of exercises involved mathematically deducing the responses of signals. Then MATLAB\textsuperscript{\tiny\textregistered} was utilized to visually confirm calculated behavior.
\end{abstract} \end{abstract}
\section{Introduction} \section{Introduction}
MATLAB\textsuperscript{\tiny\textregistered} is a very helpful tool for visualizing different signals and better understanding their behavior. The first two tasks include modulating amplitude, and determining periodicity mathematically. Then MATLAB\textsuperscript{\tiny\textregistered} was used to plot different signals in order to verify their periodicity, and if applicable, their period. MATLAB\textsuperscript{\tiny\textregistered} was also used to plot discrete time signals in order to better understand their behavior. In addition, the boundedness of a signal was checked using MATLAB\textsuperscript{\tiny\textregistered} to plot the signal. The energy of an aperiodic signal was also observed using MATLAB\textsuperscript{\tiny\textregistered}, and plotted as a function of time. Finally, this lab utilized MATLAB\textsuperscript{\tiny\textregistered} to explore the functionality of the modulo operator.
\section{Results \& Discussion} \section{Results \& Discussion}
\subsection{Analysis of Amplitude Modulation} \subsection{Analysis of Amplitude Modulation}
A message, $m(t)$, with a bandwidth, $B=2[\text{kHz}]$ modulates a cosine carrier with a frequency of 10[kHz]. The combined signal is $s(t) = m(t)\cos(20000\pi t)$. Using a Fourier transform on $s(t)$ reveals a maximum frequency at 12[kHz]. In fact, as seen in figure \ref{fig:AM_Fourier_Whitenoise}, by filling the band that $m(t)$ occupies with white noise, the Fourier transform of $s(t)$ contains white noise centered on the carrier frequency with twice the bandwidth of the original signal. The spike that occurs at 10[kHz] is the result of the original signal having a DC term and the carrier frequency having a value of 10[kHz]. A message, $m(t)$, with a bandwidth, $B=2[\text{kHz}]$ modulates a cosine carrier with a frequency of 10[kHz]. The combined signal is $s(t) = m(t)\cos(20000\pi t)$. Using a Fourier transform on $s(t)$ reveals a maximum frequency at 12[kHz]. In fact, as seen in figure \ref{fig:AM_Fourier_Whitenoise}, by filling the band that $m(t)$ occupies with white noise, the Fourier transform of $s(t)$ contains white noise centered on the carrier frequency with twice the bandwidth of the original signal. The spike that occurs at 10[kHz] is the result of the original signal having a DC term and the carrier frequency having a value of 10[kHz].
\begin{figure}[h] \begin{figure}[h]
\includegraphics[width=0.48\textwidth]{lab2_1a.png} \center
\includegraphics[width=0.5\textwidth]{lab2_1a.png}
\caption{The Fourier transform of a white noise signal carried at 10[kHz]} \caption{The Fourier transform of a white noise signal carried at 10[kHz]}
\label{fig:AM_Fourier_Whitenoise} \label{fig:AM_Fourier_Whitenoise}
\end{figure} \end{figure}
If instead, $m(t)$ had a triangular spectrum of amplitude 1, the spectrum of $s(t)$ will be two triangles touching at the base at 10[kHz] as seen in figure \ref{fig:carried_triangle}. When instead, $m(t)$ had a triangular spectrum of amplitude 1, the spectrum of $s(t)$ was two triangles touching at the base at 10[kHz] as seen in figure \ref{fig:carried_triangle}.
\begin{figure}[h] \begin{figure}[h]
\includegraphics[width=0.48\textwidth]{lab2_1b.png} \center
\includegraphics[width=0.5\textwidth]{lab2_1b.png}
\caption{The Fourier transform of a signal with a triangular spectrum carried at 10[kHz]} \caption{The Fourier transform of a signal with a triangular spectrum carried at 10[kHz]}
\label{fig:carried_triangle} \label{fig:carried_triangle}
\end{figure} \end{figure}
\subsection{Periodicity and Sampling Frequency} \subsection{Periodicity and Sampling Frequency}
Consider the signal $x(t) = \cos(2\pi t/7)$. Given the standard forms, $\cos(2\pi f t)$ and $\cos(\omega t)$, where f is linear frequency and $\omega$ is angular frequency, $f = {1\over7}$ and $\omega = {2\pi \over 7}$. Given a sampling frequency of 1[Hz], the sampling theorem is satisfied. To determine if a sampled signal is periodic, the condition $\omega N = 2 \pi r$, where $r$ is the smallest integer such that $N$ is an integer, must be satisfied. Consider the signal $x(t) = \cos(2\pi t/7)$. Given the standard forms, $\cos(2\pi f t)$ and $\cos(\omega t)$, where f is linear frequency and $\omega$ is angular frequency, $f = {1\over7}$ and $\omega = {2\pi \over 7}$. Given sampling frequencies of 1[Hz], 2.5[Hz], 3[Hz], and $\pi$[Hz], the sampling theorem is satisfied. To determine if the sampled signal is periodic, the fundamental time period must be determined by
\begin{equation}
N = {2\pi \over \omega}
\end{equation}
where $N$ is the fundamental time period and $\omega$ is the angular frequency of the signal. Given $\omega = {2\pi \over 7}$, the fundamental time period is 7[s]. With sampling frequencies of 1[Hz], 2.5[Hz], and 3[Hz], the discrete signal is periodic. However, with a sampling frequency of $\pi$[Hz], the discrete signal is aperiodic. Determining whether a sampled periodic signal is periodic can be done by satisfying the condition:
\begin{equation}
aN = bT_s
\label{eqn:periodicity_condition}
\end{equation}
where $a$ and $b$ are integers, $N$ is the fundamental time period, and $T_s$ is the sampling period. The period of the discrete signal if the condition is satisfied is the product of $a$ and $b$. Therefore, for $f_s=1$[Hz], there will be 7 samples per period, for $f_s =2.5$[Hz], there will be 35 samples per period, and for $f_s = 3$[Hz], there will be 21 samples per period. Seen in figure \ref{fig:periodic_sample}, the periodicity and samples per period for $f_s = 1$, 2.5, and 3[Hz] can be determined simply by counting the samples. For $f_s=\pi$[Hz], the aperiodic nature only becomes apparent after observing many samples.
\begin{figure}[h]
\includegraphics[width=\textwidth]{lab_2_2.png}
\caption{Sampling a periodic signal at different frequencies}
\label{fig:periodic_sample}
\end{figure}
\subsection{Plotting Discrete Time Signals}
MATLAB\textsuperscript{\tiny\textregistered} can be very helpful for plotting complicated signals over specific intervals. Using the impulse, unit step, and the \verb|stem| command, one can plot a variety of signals. One such signal is $ \delta(n-5) - 2\delta(n-8) +6\delta(n-11)$ over the interval $0<n<12$, as shown in \ref{fig:various_impulses}. This function comprises three impulse functions that have been shifted and scaled.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_3a.png}
\caption{Shifted and scaled impulses}
\label{fig:various_impulses}
\end{figure}
\noindent
The signal $u(n-3) - 2u(n-8) + u(n-12)$ across $0<n<15$ is seen in figure \ref{fig:various_steps}. This signal consists of three unit steps that have been shifted and scaled.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_3b.png}
\caption{Shifted and scaled unit steps}
\label{fig:various_steps}
\end{figure}
\noindent
Plotting the signal $n u(n)$ over the interval $0<n<20$ reveals the discrete ramp function seen in figure \ref{fig:discrete_ramp}.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_3c.png}
\caption{A discrete ramp function}
\label{fig:discrete_ramp}
\end{figure}
\noindent
Plotting the signal $n^2 u(n)$ on the interval, $0<n<10$ reveals a quadratic regulated by the unit step seen in figure \ref{fig:discrete_quadratic}.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_3d.png}
\caption{Discrete quadratic signal}
\label{fig:discrete_quadratic}
\end{figure}
\noindent
MATLAB\textsuperscript{\tiny\textregistered} is not limited to these simple signals. The signal $3(n-3)^2 e^{-0.3n} \sin\left(\frac{2n}{3}\right) u(n)$ was plotted from $0<n<30$ as seen in figure \ref{fig:osc_exp_decay}. This signal resembles an under-damped second order response due to the combination of exponential decay and sinusoidal terms.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_3e.png}
\caption{Oscillating exponential decay}
\label{fig:osc_exp_decay}
\end{figure}
\noindent
\subsection{Bounded Signals}
A bounded signal has an amplitude that does not exceed a certain value. Using MATLAB\textsuperscript{\tiny\textregistered}, the signal $x(n) = 5\cos(a^2 n) u(n)$ where $a=\frac{\pi}{4}$ is verified to be bounded as clearly seen in figure \ref{fig:cosine_boundedness}. It is bounded since the amplitude of the signal never has an absolute value greater than 5.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_4a.png}
\caption{Boundedness of a cosine}
\label{fig:cosine_boundedness}
\end{figure}
\noindent
The boundedness of $x(n) = A |b|^n u(n)$ where $A=5$ and $b=\frac{1+j}{2}$ is seen in figure \ref{fig:complex_boundedness}. Since the signal is defined only for non-negative integer values of $n$, and $|b| < 1$, it is bounded by $A|b|^0$, which is 5 in this case.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_4b.png}
\caption{More complex boundedness}
\label{fig:complex_boundedness}
\end{figure}
\subsection{Energy of an Aperiodic Signal}
Given a signal $x(n)$ its energy can be calculated by evaluating the discrete sum:
\begin{equation}
E_x = \sum_n |x[n]|^2.
\end{equation}
Given a periodic signal, the energy will always be infinite, however, some aperiodic signals have finite energy. For example, the signal, $x[n] = {1\over n}u[n-1]$ will have a total energy of $\pi^2 \over 6$. This is easily seen in figure \ref{fig:aperiodic_energy}, where the energy, in red, approaches $\pi^2 \over 6$ in only the first 100 samples.
\begin{figure}[H]
\center
\includegraphics[width=0.5\textwidth]{lab_2_5.png}
\caption{First 100 samples of $x[n]$ and its energy}
\label{fig:aperiodic_energy}
\end{figure}
\subsection{The Modulo Operation}
The modulo operation is the central operation in modular arithmetic. Essentially, the operation bundles the set of integers into a subset from zero up to, but not including the modulus by wrapping back to zero. This is similar to how a clock starts and ends at 12 o'clock, yet time remains continuous. The modulo operation is a helpful tool for manipulating the order of the terms of a discrete signal. For example, given the signal, $x[n] = \begin{bmatrix} 1 & -5 & 4 & -8 & 6 & -3 & -1\end{bmatrix}$ on the interval $0 \le n \le 6$, the order of the terms can easily be manipulated using 7 as the modulus. By using 7 as the modulus, it is ensured that $n$ remains on the defined interval between 0 and 6. The signal $x[n]$ was manipulated using $x[\langle n+3 \rangle_7]$, $x[\langle n-4 \rangle_7]$, and $x[\langle -n+2 \rangle_7]$, where the angle brackets indicate the modulo operation with a modulus of the subscript. The result of the modulo operation on the sampling times of $x[n]$ are seen in figure \ref{fig:modulo}.
\begin{figure}[H]
\center
\includegraphics[width=\textwidth]{lab_2_6.png}
\caption{Applying the modulo operation to $x[n]$.}
\label{fig:modulo}
\end{figure}
\section{Conclusions} \section{Conclusions}
In performing various operations in isolation and in conjunction with other operations on discrete and continuous signals, the manipulation of such signals becomes more intuitive. For example, by visualizing the Fourier transform of amplitude modulated signal, it becomes clear that the bandwidth is centered around the carrier frequency and doubled. Again, by visualizing the sampling of a continuous time signal with various sampling frequencies, it the condition to produce a periodic discrete time signal becomes quite clear. The same level of intuition can be reached for boundedness, energy, and the effects of the modulo operation, simply by programatically creating a visual representation. While these simulations are obvious simplifications of reality, having a strong understanding of simple operations is crucial to understanding much more complex systems.
\end{document} \end{document}

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@ -3,12 +3,35 @@ import matplotlib.pyplot as plt
PI = np.pi PI = np.pi
f_s1 = 1
f_s2 = 2.5
f_s3 = 3
f_s4 = PI
fs = 20000 t1 = np.arange(0,40,1/f_s1)
t = np.arange(0, 1, 1/fs) t2 = np.arange(0,40,1/f_s2)
t3 = np.arange(0,40,1/f_s3)
t4 = np.arange(0,40,1/f_s4)
x = np.cos(2*PI*t/7) x1 = np.cos(2*PI*t1/7)
x2 = np.cos(2*PI*t2/7)
x3 = np.cos(2*PI*t3/7)
x4 = np.cos(2*PI*t4/7)
plt.plot(np.arange(0,fs), abs(np.fft.fft(s))) plt.subplot(2,2,1)
plt.stem(t1,x1)
plt.title("1[Hz] Sampling")
plt.subplot(2,2,2)
plt.stem(t2,x2)
plt.title("2.5[Hz] Sampling")
plt.subplot(2,2,3)
plt.stem(t3,x3)
plt.title("3[Hz] Sampling")
plt.subplot(2,2,4)
plt.stem(t4,x4)
plt.title("$\pi$[Hz] Sampling")
plt.show() plt.show()

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@ -16,8 +16,8 @@ for i in range(len(y)):
E_x[i] = E_x_total E_x[i] = E_x_total
fig, ax = plt.subplots() fig, ax = plt.subplots()
ax.scatter(n,y, label="x[n]") ax.scatter(n,y, label="$x[n]$")
ax.scatter(n, E_x, c='red', label="E_x") ax.scatter(n, E_x, c='red', label="$E_x$")
ax.axhline(np.pi**2 / 6, linestyle='-') ax.axhline(np.pi**2 / 6, linestyle='-', label="$\\frac{\pi^2}{6}$")
ax.legend() ax.legend()
plt.show() plt.show()

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@ -0,0 +1,27 @@
import numpy as np
import matplotlib.pyplot as plt
x = np.array([1, -5, 4, 8, 6, -3, -1])
n = np.arange(7)
x1 = x[(n+3)%7]
x2 = x[(n-4)%7]
x3 = x[(-n+2)%7]
plt.subplot(221)
plt.scatter(n,x)
plt.title("$x[n]$")
plt.subplot(222)
plt.scatter(n,x1)
plt.title("$x\left[\langle n + 3\\rangle_7\\right]$")
plt.subplot(223)
plt.scatter(n,x2)
plt.title("$x\left[\langle n - 4\\rangle_7\\right]$")
plt.subplot(224)
plt.scatter(n,x3)
plt.title("$x\left[\langle -n +2\\rangle_7\\right]$")
plt.show()

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@ -19,3 +19,14 @@
- Started as the first sustainable mascara, eventually competition started - Started as the first sustainable mascara, eventually competition started
- Competition makes you hone in on your target market - Competition makes you hone in on your target market
- Goal is line of sustainable cosmetics - Goal is line of sustainable cosmetics
== Color Theory Workshop ==
=== What is Color Psychology? ===
How colors affect perceptions and behaviors
Color-brand association
=== 60-30-10 Rule ===
- 60% primary color
- 30% secondary colory
- 10% accent color
=== Consumer's Culture ===
Different cultures have different perceptions of color

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# Rowan Class Materials
Just a centralized repository for everything I do in class at Rowan. Projects will be given their own seperate repositories for collaboration and versioning purposes.

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PROJCS["NAD_1983_StatePlane_New_Jersey_FIPS_2900_Feet",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137.0,298.257222101]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",492125.0],PARAMETER["False_Northing",0.0],PARAMETER["Central_Meridian",-74.5],PARAMETER["Scale_Factor",0.9999],PARAMETER["Latitude_Of_Origin",38.8333333333333],UNIT["US survey foot",0.304800609601219]]

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PROJCS["WGS_1984_Web_Mercator_Auxiliary_Sphere",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Mercator_Auxiliary_Sphere"],PARAMETER["False_Easting",0.0],PARAMETER["False_Northing",0.0],PARAMETER["Central_Meridian",0.0],PARAMETER["Standard_Parallel_1",0.0],PARAMETER["Auxiliary_Sphere_Type",0.0],UNIT["Meter",1.0]]

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<!DOCTYPE qgis PUBLIC 'http://mrcc.com/qgis.dtd' 'SYSTEM'>
<qgis version="3.24.3-Tisler">
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<abstract></abstract>
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<name></name>
<organization></organization>
<position></position>
<voice></voice>
<fax></fax>
<email></email>
<role></role>
</contact>
<links/>
<fees></fees>
<encoding></encoding>
<crs>
<spatialrefsys nativeFormat="Wkt">
<wkt></wkt>
<proj4></proj4>
<srsid>0</srsid>
<srid>0</srid>
<authid></authid>
<description></description>
<projectionacronym></projectionacronym>
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</qgis>

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GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]]

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<?xml version="1.0" encoding="UTF-8"?>
<metadata xml:lang="en"><Esri><DataProperties><copyHistory><copy source="H:\IMGISs13\Labs\Global\NASA_blue-marble_February2004_025deg.tif" dest="\\compass.rowan.edu\GIS\Courses\IMGIS\Labs\Global\NASA_blue-marble_February2004_025deg.tif" date="20130207" time="11372700"></copy></copyHistory><itemProps><itemLocation><linkage Sync="TRUE">file://\\compass.rowan.edu\GIS\Courses\IMGIS\Labs\Global\NASA_blue-marble_February2004_025deg.tif</linkage><protocol Sync="TRUE">Local Area Network</protocol></itemLocation></itemProps></DataProperties><CreaDate>20130207</CreaDate><CreaTime>11372700</CreaTime><SyncOnce>TRUE</SyncOnce></Esri></metadata>

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PROJCS["NAD_1983_StatePlane_New_Jersey_FIPS_2900_Feet",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137.0,298.257222101]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",492125.0],PARAMETER["False_Northing",0.0],PARAMETER["Central_Meridian",-74.5],PARAMETER["Scale_Factor",0.9999],PARAMETER["Latitude_Of_Origin",38.8333333333333],UNIT["US survey foot",0.304800609601219]]

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PROJCS["NAD_1983_StatePlane_New_Jersey_FIPS_2900_Feet",GEOGCS["GCS_North_American_1983",DATUM["D_North_American_1983",SPHEROID["GRS_1980",6378137.0,298.257222101]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["False_Easting",492125.0],PARAMETER["False_Northing",0.0],PARAMETER["Central_Meridian",-74.5],PARAMETER["Scale_Factor",0.9999],PARAMETER["Latitude_Of_Origin",38.8333333333333],UNIT["US survey foot",0.304800609601219]]

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PROJCS["WGS_1984_Web_Mercator_Auxiliary_Sphere",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Mercator_Auxiliary_Sphere"],PARAMETER["False_Easting",0.0],PARAMETER["False_Northing",0.0],PARAMETER["Central_Meridian",0.0],PARAMETER["Standard_Parallel_1",0.0],PARAMETER["Auxiliary_Sphere_Type",0.0],UNIT["Meter",1.0]]

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<?xml version="1.0" encoding="UTF-8"?><metadata>
<idinfo>
<citation>
<citeinfo>
<origin/>
<pubdate>20210531</pubdate>
<title>Public Solar Facilities of New Jersey, Edition 20210531 (Util_solar_public) (Web Mercator ArcGIS Online Service)</title>
<geoform>vector digital data</geoform>
<pubinfo>
<pubplace/>
<publish>NJDEP Bureau of Energy &amp; Sustainability</publish>
</pubinfo>
<onlink>https://www.nj.gov/dep/gis/digidownload/zips/OpenData/Util_solar_public.zip</onlink>
</citeinfo>
</citation>
<descript>
<abstract>The data contained in this layer identifies all public solar installations in the State, as reported by the NJBPU and their Energy Market Managers, AEG as of 20160826. Public facilities include: Government Facilities, Public Schools, Public Colleges/Universities, and other public school facilities.</abstract>
<purpose>The purpose of this dataset is to identify solar PV installations at public facilities in New Jersey.</purpose>
</descript>
<timeperd>
<timeinfo>
<sngdate>
<caldate>20160826</caldate>
</sngdate>
</timeinfo>
<current>Data obtained from AEG &amp; NJBPU on 20160826</current>
</timeperd>
<status>
<progress>In work</progress>
<update>As needed</update>
</status>
<spdom>
<bounding>
<westbc>-75.542576</westbc>
<eastbc>-73.926621</eastbc>
<northbc>41.230956</northbc>
<southbc>38.926452</southbc>
</bounding>
</spdom>
<keywords>
<theme>
<themekt>ISO 19115 Topic Category</themekt>
<themekey>utilitiesCommunication</themekey>
</theme>
<theme>
<themekt>None</themekt>
<themekey>NJDEP</themekey>
<themekey>BPU</themekey>
<themekey>Public Solar Facilities</themekey>
<themekey>Util_solar_public</themekey>
<themekey>AEG</themekey>
<themekey>Solar</themekey>
<themekey>Facilities</themekey>
</theme>
</keywords>
<accconst>In most cases, a downloadable shapefile (.zip) version of this layer is also available. Information to download the shapefile can be found in the Distribution Section of this metadata record. This data layer is shown in the NJDEP's NJ-GeoWeb mapping application accessible through the Online Linkage: https://www.nj.gov/dep/gis/geowebsplash.htm</accconst>
<useconst>New Jersey Department of Environmental Protection (NJDEP) Data Distribution Agreement. The data provided herein are distributed subject to the following conditions and restrictions: NJDEP assumes no responsibility to maintain them in any manner or form and disclaims any duty or obligation to either maintain availability of or to update the data. Terms of Agreement 1. All data is provided, as is, without any representation or warranty of any kind, implied, expressed or statutory including, but not limited to, the warranties of non-infringement of third party rights, title, merchantability or fitness for a particular use, freedom from computer virus nor are any such warranties to be implied with respect to the digital data layers furnished hereunder. User is responsible for understanding the accuracy limitations of all digital data layers provided herein, as documented in the accompanying cross-reference files (see SUPPLEMENTAL INFORMATION). Any reproduction or manipulation of the above data must ensure that the coordinate reference system remains intact. 2. Digital data received from the NJDEP may not be reproduced or redistributed without all the metadata provided. 3. Any maps, publications, reports, or other documents produced as a result of this project that utilize this digital data will credit the NJDEP's Geographic Information System (GIS) as the source of the data with the following credit/disclaimer: 'This (map/publication/report) was developed using New Jersey Department of Environmental Protection Geographic Information System digital data, but this secondary product has not been verified by NJDEP and is not state-authorized or endorsed.' 4. NJDEP makes no warranty that digital data are free of Copyright or Trademark claims or other restrictions or limitations on free use or display. Making a copy of this data may be subject to the copyright of trademark laws.</useconst>
<ptcontac>
<cntinfo>
<cntorgp>
<cntorg>NJDEP Bureau of Energy &amp; Sustainability</cntorg>
<cntper>Ryan Gergely</cntper>
</cntorgp>
<cntaddr>
<addrtype>mailing and physical</addrtype>
<address>401 East State Street</address>
<city>Trenton</city>
<state>NJ</state>
<postal>08625</postal>
</cntaddr>
<cntvoice>(609) 292-8848</cntvoice>
<cntemail>ryan.gergely@dep.nj.gov</cntemail>
</cntinfo>
</ptcontac>
<native>Version 6.2 (Build 9200) ; Esri ArcGIS 10.3.1.4959</native>
</idinfo>
<dataqual>
<logic>Normalized data for consistency.</logic>
<complete>Some entries in the source spreadsheet from AEG/BPU were not “public facilities” (businesses, churches. etc.) and were therefore omitted from this dataset.</complete>
<lineage>
<srcinfo>
<srccite>
<citeinfo>
<origin/>
<pubdate>20160816</pubdate>
<title>Public Solar Facilities</title>
<geoform>spreadsheet</geoform>
<pubinfo>
<pubplace/>
<publish>New Jersey Board of Public Utilities (NJBPU)</publish>
</pubinfo>
<onlink>https://www.bpu.state.nj.us</onlink>
</citeinfo>
</srccite>
<srcscale>0</srcscale>
<typesrc>onLine</typesrc>
<srctime>
<timeinfo>
<sngdate>
<caldate>20160816</caldate>
</sngdate>
</timeinfo>
<srccurr>publication date</srccurr>
</srctime>
<srccitea>AFVFS</srccitea>
<srccontr>The U.S. Department of Energys Alternative Fuels Data Center (AFDC) provided all of the data found in this GIS dataset.</srccontr>
</srcinfo>
<procstep>
<procdesc>Data obtained from NJBPU &amp; AEG on 20160826 in spreadsheet fromat. Public locations were identified and categorized as either "Government Facility", "School Public K-12", "College/University", or "Other School Facility". Addresses were geocoded and then visually checked for accuracy in order to determine coordinate values to map. Company Names and other values were normalized for quality and consistency.</procdesc>
<procdate>20160826</procdate>
<proccont>
<cntinfo>
<cntorgp>
<cntorg>NJDEP Bureau of Energy &amp; Sustainability</cntorg>
<cntper>Ryan Gergely</cntper>
</cntorgp>
<cntaddr>
<addrtype>mailing and physical</addrtype>
<address>401 East State Street</address>
<city>Trenton</city>
<state>NJ</state>
<postal>08625</postal>
</cntaddr>
<cntvoice>(609) 292-8848</cntvoice>
<cntemail>ryan.gergely@dep.nj.gov</cntemail>
</cntinfo>
</proccont>
</procstep>
</lineage>
</dataqual>
<spdoinfo>
<direct>Vector</direct>
<ptvctinf>
<sdtsterm>
<sdtstype>Entity point</sdtstype>
<ptvctcnt>1113</ptvctcnt>
</sdtsterm>
</ptvctinf>
</spdoinfo>
<eainfo>
<detailed>
<enttyp>
<enttypl>Util_solar_public</enttypl>
<enttypd>Public Solar Facilities</enttypd>
<enttypds>NJDEP/NJBPU/AEG</enttypds>
</enttyp>
<attr>
<attrlabl>OBJECTID</attrlabl>
<attrdef>Internal feature number.</attrdef>
<attrdefs>Esri</attrdefs>
<attrdomv>
<udom>Sequential unique whole numbers that are automatically generated.</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>Shape</attrlabl>
<attrdef>Feature geometry.</attrdef>
<attrdefs>Esri</attrdefs>
<attrdomv>
<udom>Coordinates defining the features.</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>AcctNumber</attrlabl>
<attrdef>Account Number from BPU Application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique Account Number</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>Status_Date</attrlabl>
<attrdef>Date from NJBPU/AEG</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique date from NJBPU/AEG</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>CompanyName (Alias: Customer)</attrlabl>
<attrdef>Company name from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique company name</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>System_Size</attrlabl>
<attrdef>System size from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique system size</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>CustomerType</attrlabl>
<attrdef>Customer Type of public facilities from categories</attrdef>
<attrdefs>NJDEP</attrdefs>
<attrdomv>
<edom>
<edomv>College/University</edomv>
<edomvd>College/Universities</edomvd>
<edomvds>NJDEP</edomvds>
</edom>
<edom>
<edomv>Government Facility</edomv>
<edomvd>Government Facilities (Municipal/State, Fire/Police, etc.)</edomvd>
<edomvds>NJDEP</edomvds>
</edom>
<edom>
<edomv>Other School Facility</edomv>
<edomvd>Other School Facilities (BoE Buildings, etc.)</edomvd>
<edomvds>NJDEP</edomvds>
</edom>
<edom>
<edomv>School Public K-12</edomv>
<edomvd>Public Schools (Elementary, Middle, High Schools)</edomvd>
<edomvds>NJDEP</edomvds>
</edom>
</attrdomv>
</attr>
<attr>
<attrlabl>InstallationAddress</attrlabl>
<attrdef>Installation address from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique installation address</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>InstallationCity</attrlabl>
<attrdef>Installation city from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique installation city</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>InstallationZip</attrlabl>
<attrdef>Installation zip from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique installation zip code</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>InstallerName</attrlabl>
<attrdef>Installer name from solar application</attrdef>
<attrdefs>NJBPU/AEG</attrdefs>
<attrdomv>
<udom>Unique installer name</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>Lat</attrlabl>
<attrdef>Latitude coordinates</attrdef>
<attrdefs>NJDEP</attrdefs>
<attrdomv>
<udom>Geocoded coordinates</udom>
</attrdomv>
</attr>
<attr>
<attrlabl>Long</attrlabl>
<attrdef>Longitude coordinates</attrdef>
<attrdefs>NJDEP</attrdefs>
<attrdomv>
<udom>Geocoded coordinates</udom>
</attrdomv>
</attr>
</detailed>
</eainfo>
<distinfo>
<distrib>
<cntinfo>
<cntorgp>
<cntorg>NJDEP/DOIT/BGIS</cntorg>
</cntorgp>
<cntaddr>
<addrtype>mailing and physical</addrtype>
<address>PO Box 420</address>
<address>401 East State Street</address>
<city>Trenton</city>
<state>NJ</state>
<postal>08625</postal>
</cntaddr>
<cntvoice>(609) 777-0672</cntvoice>
<cntfax>(609) 292-7900</cntfax>
<cntemail>gisnet@dep.nj.gov</cntemail>
</cntinfo>
</distrib>
<resdesc>Downloadable Data</resdesc>
<distliab>See "Use Constraints"</distliab>
<stdorder>
<digform>
<digtinfo>
<formname>DEP distributes ESRI .SHP and/or GDB. Some data may be NJ GeoWeb "display only" layers.</formname>
<formvern>9x/10x</formvern>
<formspec>NJDEP NJ GeoWeb online mapping application</formspec>
<filedec>zip</filedec>
</digtinfo>
<digtopt>
<onlinopt>
<computer>
<networka>
<networkr>https://www.nj.gov/dep/gis</networkr>
</networka>
</computer>
</onlinopt>
<onlinopt>
<computer>
<networka>
<networkr>https://www.nj.gov/dep/gis/geowebsplash.htm</networkr>
</networka>
</computer>
</onlinopt>
</digtopt>
</digform>
<fees>none</fees>
<ordering>none</ordering>
</stdorder>
</distinfo>
<metainfo>
<metd>20210531</metd>
<metc>
<cntinfo>
<cntorgp>
<cntorg>NJDEP Bureau of Energy &amp; Sustainability</cntorg>
<cntper>Ryan Gergely</cntper>
</cntorgp>
<cntpos>Research Scientist</cntpos>
<cntaddr>
<addrtype>physical</addrtype>
<address>401 E State St</address>
<city>Trenton</city>
<state>NJ</state>
<postal>08625</postal>
</cntaddr>
<cntvoice>609-292-8848</cntvoice>
<cntemail>ryan.gergely@dep.nj.gov</cntemail>
</cntinfo>
</metc>
<metstdn>FGDC Content Standard for Digital Geospatial Metadata</metstdn>
<metstdv>FGDC-STD-001-1998</metstdv>
<mettc>local time</mettc>
</metainfo>
</metadata>

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GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]]

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