From 8d16a9b73ed98667a37fd4c44813dd1855290f61 Mon Sep 17 00:00:00 2001 From: Aidan Sharpe <33038791+Adog64@users.noreply.github.com> Date: Sat, 20 Apr 2024 20:49:37 -0400 Subject: [PATCH] Notch filter parts 5 and 6 --- .../NotchFilter/FIR_099r_2fs_025f0_freq.png | Bin 0 -> 38902 bytes .../NotchFilter/IIR_090r_2fs_025f0_freq.png | Bin 0 -> 37984 bytes .../NotchFilter/IIR_090r_2fs_025f0_pz.png | Bin 0 -> 35699 bytes .../NotchFilter/IIR_099r_2fs_025f0_freq.png | Bin 0 -> 29262 bytes .../NotchFilter/IIR_099r_2fs_025f0_pz.png | Bin 0 -> 35456 bytes .../DSP/Labs/NotchFilter/dev_a.dat | 8003 +++++++++++++++++ .../NotchFilter/iir_notch_filter_paper.pdf | Bin 0 -> 662355 bytes .../DSP/Labs/NotchFilter/notch_filter_5.py | 84 + .../DSP/Labs/NotchFilter/notch_filter_6.py | 77 + .../DSP/Quizzes/answer_sheet_4.docx | Bin 0 -> 9084 bytes 10 files changed, 8164 insertions(+) create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/FIR_099r_2fs_025f0_freq.png create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/IIR_090r_2fs_025f0_freq.png create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/IIR_090r_2fs_025f0_pz.png create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/IIR_099r_2fs_025f0_freq.png create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/IIR_099r_2fs_025f0_pz.png create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/dev_a.dat create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/iir_notch_filter_paper.pdf create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/notch_filter_5.py create mode 100644 6th-Semester-Spring-2024/DSP/Labs/NotchFilter/notch_filter_6.py create mode 100644 6th-Semester-Spring-2024/DSP/Quizzes/answer_sheet_4.docx diff --git a/6th-Semester-Spring-2024/DSP/Labs/NotchFilter/FIR_099r_2fs_025f0_freq.png b/6th-Semester-Spring-2024/DSP/Labs/NotchFilter/FIR_099r_2fs_025f0_freq.png new file mode 100644 index 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circle + uc = patches.Circle((0,0), radius=1, fill=False, + color='black', ls='dashed') + ax.add_patch(uc) + + # The coefficients are less than 1, normalize the coeficients + if np.max(b) > 1: + kn = np.max(b) + b = b/float(kn) + else: + kn = 1 + + if np.max(a) > 1: + kd = np.max(a) + a = a/float(kd) + else: + kd = 1 + + # Get the poles and zeros + p = np.roots(a) + z = np.roots(b) + k = kn/float(kd) + + # Plot the zeros and set marker properties + t1 = plt.plot(z.real, z.imag, 'o', ms=10, label="zero") + plt.setp(t1, markersize=10.0, color='tab:blue', fillstyle='none') + + # Plot the poles and set marker properties + t2 = plt.plot(p.real, p.imag, 'x', ms=10, label="pole") + plt.setp(t2, markersize=10.0, color='tab:blue') + + ax.spines['left'].set_position('center') + ax.spines['bottom'].set_position('center') + ax.spines['right'].set_visible(False) + ax.spines['top'].set_visible(False) + + # set the ticks + r = 1.5; plt.axis('scaled'); plt.axis([-r, r, -r, r]) + ticks = [-1, -.5, .5, 1]; plt.xticks(ticks); plt.yticks(ticks) + return z, p, k + + +f_s = 2 # Sampling frequency of 2[Hz] +f_0 = 0.25 # Notch frequency at 0.25[Hz] +r = 0.99 # Poles at radius 0.99 + +b_0 = 1 +b_1 = -2*np.cos(2*np.pi*f_0/f_s) +b_2 = 1 +b = [b_2, b_1, b_0] + +a_0 = 1 +a_1 = -2*r*np.cos(2*np.pi*f_0/f_s) +a_2 = r**2 +a = [a_2, a_1, a_0] + +omega, h scipy.signal.freqz(b,a, fs=f_s) + +h_f = np.abs(h) + +plt.figure(figsize=(16,9)) +plt.plot(omega*f_s / (2*np.pi), h_f) +plt.title("Magnitude Response") +plt.xlabel("Frequency in Hz") +plt.savefig("IIR_099r_2fs_025f0_freq.png") + +plt.figure(figsize=(16,9)) +zplane(b,a) +plt.legend() +plt.savefig("IIR_099r_2fs_025f0_pz.png") diff --git a/6th-Semester-Spring-2024/DSP/Labs/NotchFilter/notch_filter_6.py b/6th-Semester-Spring-2024/DSP/Labs/NotchFilter/notch_filter_6.py new file mode 100644 index 0000000..94ea9bd --- /dev/null +++ b/6th-Semester-Spring-2024/DSP/Labs/NotchFilter/notch_filter_6.py @@ -0,0 +1,77 @@ +import numpy as np +import matplotlib.pyplot as plt +import scipy.signal +from matplotlib import patches +from matplotlib.figure import Figure +from matplotlib import rcParams + +def zplane(b,a,filename=None): + """Plot the complex z-plane given a transfer function. + """ + + # get a figure/plot + ax = plt.subplot(111) + + # create the unit circle + uc = patches.Circle((0,0), radius=1, fill=False, + color='black', ls='dashed') + ax.add_patch(uc) + + # The coefficients are less than 1, normalize the coeficients + if np.max(b) > 1: + kn = np.max(b) + b = b/float(kn) + else: + kn = 1 + + if np.max(a) > 1: + kd = np.max(a) + a = a/float(kd) + else: + kd = 1 + + # Get the poles and zeros + p = np.roots(a) + z = np.roots(b) + k = kn/float(kd) + + # Plot the zeros and set marker properties + t1 = plt.plot(z.real, z.imag, 'o', ms=10, label="zero") + plt.setp(t1, markersize=10.0, color='tab:blue', fillstyle='none') + + # Plot the poles and set marker properties + t2 = plt.plot(p.real, p.imag, 'x', ms=10, label="pole") + plt.setp(t2, markersize=10.0, color='tab:blue') + + ax.spines['left'].set_position('center') + ax.spines['bottom'].set_position('center') + ax.spines['right'].set_visible(False) + ax.spines['top'].set_visible(False) + + # set the ticks + r = 1.5; plt.axis('scaled'); plt.axis([-r, r, -r, r]) + ticks = [-1, -.5, .5, 1]; plt.xticks(ticks); plt.yticks(ticks) + return z, p, k + + +f_s = 2 # Sampling frequency of 2[Hz] +f_0 = 0.25 # Notch frequency at 0.25[Hz] +r = 0.99 # Poles at radius 0.99 + +b_0 = 1 +b_1 = -2*np.cos(2*np.pi*f_0/f_s) +b_2 = 1 +b = [b_2, b_1, b_0] + +a_0 = 2 - 2*np.cos(2*np.pi*f_0/f_s) +a = [a_0] + +omega, h = scipy.signal.freqz(b,a, fs=f_s) + +h_f = np.abs(h) + +plt.figure(figsize=(16,9)) +plt.plot(omega, h_f) +plt.title("Magnitude Response") +plt.xlabel("Frequency in Hz") +plt.savefig("FIR_099r_2fs_025f0_freq.png") diff --git a/6th-Semester-Spring-2024/DSP/Quizzes/answer_sheet_4.docx b/6th-Semester-Spring-2024/DSP/Quizzes/answer_sheet_4.docx new file mode 100644 index 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