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Python
import numpy as np import matplotlib.pyplot as plt # Define the components values R_filter = 10e3 # 10 kOhms C67 = 0.01e-6 # 0.01 uF # Calculate the cut-off frequency f_c = 1 / (2 * np.pi * R_filter * C67) # Frequency range for plotting freq = np.logspace(1, 7, 1000) # From 10 Hz to 10 MHz # Transfer function for RC low-pass filter H = 1 / np.sqrt(1 + (freq / f_c)**2) # Plotting plt.figure(figsize=(10, 6)) plt.semilogx(freq, 20 * np.log10(H)) plt.axvline(f_c, color='red', linestyle='--', label=f'Cut-off frequency {f_c:.2e} Hz') plt.title('Low-Pass Filter Frequency Response') plt.xlabel('Frequency (Hz)') plt.ylabel('Amplitude (dB)') plt.grid(which='both', linestyle='--', linewidth=0.5) plt.legend() plt.show() f_c
Python
import numpy as np import matplotlib.pyplot as plt # Define the components values R_filter = 10e3 # 10 kOhms C67 = 0.01e-6 # 0.01 uF # Calculate the cut-off frequency f_c = 1 / (2 * np.pi * R_filter * C67) # Frequency range for plotting freq = np.logspace(1, 7, 1000) # From 10 Hz to 10 MHz # Transfer function for RC low-pass filter H = 1 / np.sqrt(1 + (freq / f_c)**2) # Plotting plt.figure(figsize=(10, 6)) plt.semilogx(freq, 20 * np.log10(H)) plt.axvline(f_c, color='red', linestyle='--', label=f'Cut-off frequency {f_c:.2e} Hz') plt.title('Low-Pass Filter Frequency Response') plt.xlabel('Frequency (Hz)') plt.ylabel('Amplitude (dB)') plt.grid(which='both', linestyle='--', linewidth=0.5) plt.legend() plt.show() f_c

Image
Python
import numpy as np import matplotlib.pyplot as plt from scipy.signal import butter, lfilter, freqz, step # Define component values for the RC filter R = 1000 # Resistance in ohms C = 10e-6 # Capacitance in farads # Calculate the cutoff frequency fc = 1 / (2 * np.pi * R * C) # Create a Butterworth low-pass filter (2nd order for demonstration) b, a = butter(2, fc, btype='low', analog=True) # Frequency response w, h = freqz(b, a, worN=8000) frequencies = w * 0.5 / np.pi # Step response t, step_response = step((b, a)) # Plot frequency response (Bode plot) plt.figure(figsize=(12, 8)) plt.subplot(2, 1, 1) plt.plot(frequencies, 20 * np.log10(np.abs(h)), 'b') plt.axvline(fc, color='k') plt.title('Low-pass Filter Frequency Response') plt.xlabel('Frequency [Hz]') plt.ylabel('Magnitude [dB]') plt.grid() plt.subplot(2, 1, 2) angles = np.unwrap(np.angle(h)) plt.plot(frequencies, angles, 'g') plt.axvline(fc, color='k') plt.xlabel('Frequency [Hz]') plt.ylabel('Phase [radians]') plt.grid() # Plot step response plt.figure(figsize=(12, 6)) plt.plot(t, step_response, 'r') plt.title('Low-pass Filter Step Response') plt.xlabel('Time [s]') plt.ylabel('Amplitude') plt.grid() plt.show() # Output key design parameters fc
Analysis and Visualization Key Design ParametersPython
import numpy as np import matplotlib.pyplot as plt from scipy.signal import butter, freqz, step # Define component values for the RC filter R = 1000 # Resistance in ohms (1 kΩ) C = 10e-6 # Capacitance in farads (10 μF) # Calculate the cutoff frequency fc = 1 / (2 * np.pi * R * C) # Create a Butterworth low-pass filter (2nd order for demonstration) b, a = butter(2, fc, btype='low', analog=True) # Frequency response w, h = freqz(b, a, worN=8000) frequencies = w * 0.5 / np.pi # Step response t, step_response = step((b, a)) # Plot frequency response (Bode plot) plt.figure(figsize=(12, 8)) plt.subplot(2, 1, 1) plt.plot(frequencies, 20 * np.log10(np.abs(h)), 'b') plt.axvline(fc, color='k', linestyle='--') plt.title('Low-pass Filter Frequency Response') plt.xlabel('Frequency [Hz]') plt.ylabel('Magnitude [dB]') plt.grid() plt.subplot(2, 1, 2) angles = np.unwrap(np.angle(h)) plt.plot(frequencies, angles, 'g') plt.axvline(fc, color='k', linestyle='--') plt.xlabel('Frequency [Hz]') plt.ylabel('Phase [radians]') plt.grid() # Plot step response plt.figure(figsize=(12, 6)) plt.plot(t, step_response, 'r') plt.title('Low-pass Filter Step Response') plt.xlabel('Time [s]') plt.ylabel('Amplitude') plt.grid() # Show plots plt.show() # Output key design parameters fc
Table
| Frequency Bands | Magnitude Behavior |
|---|---|
| f15.92Hz | Significant attenuation (filtered out) |
Table
| Frequency Bands | Phase Shift |
|---|---|
| Below cut-off frequency | Minimal shift |
| Cut-off point | Noticeable shift |
| Above cut-off frequency | Maximum shift |
Table
| Metric | Description |
|---|---|
| Rise Time | Interval over which the response rises from 10% to 90% of its final value. |
| Settling Time | Time over which the response remains within 2% of its final value. |
| Overshoot | Amount by which the response exceeds the final steady-state value. |
Python
import numpy as np import matplotlib.pyplot as plt # Component values R = 4.32e3 # Resistance in ohms C = 22e-12 # Capacitance in farads # Cutoff frequency calculation f_c = 1 / (2 * np.pi * R * C) f_c # Frequency range for plotting frequencies = np.logspace(2, 8, num=500) # From 100 Hz to 100 MHz omega = 2 * np.pi * frequencies # Transfer function |H(jω)| H = 1 / np.sqrt(1 + (omega * R * C)**2) # Plot frequency response plt.figure(figsize=(10, 6)) plt.semilogx(frequencies, 20 * np.log10(H)) # Bode plot (magnitude in dB) plt.axvline(f_c, color='red', linestyle='--', label=f'Cutoff Frequency (f_c) = {f_c:.2e} Hz') plt.title('RC Low-Pass Filter Frequency Response') plt.xlabel('Frequency (Hz)') plt.ylabel('Magnitude (dB)') plt.grid(which='both', linestyle='--', linewidth=0.5) plt.legend() plt.show() f_c

Image
Python
import numpy as np import matplotlib.pyplot as plt import scipy.signal as signal # Given values R = 4.7e3 # Resistance in ohms C = 10e-6 # Capacitance in farads # Calculate cut-off frequency f_c = 1 / (2 * np.pi * R * C) # Frequency range for plotting f = np.logspace(0, 6, 1000) # from 1 Hz to 1 MHz # Transfer function for RC low pass filter w, h = signal.freqs([1], [R*C, 1], worN=2*np.pi*f) # Plot the frequency response plt.figure() plt.semilogx(f, 20 * np.log10(np.abs(h))) plt.title('RC Low-Pass Filter Frequency Response') plt.xlabel('Frequency [Hz]') plt.ylabel('Amplitude [dB]') plt.axvline(f_c, color='red', linestyle='--', label=f'Cut-off frequency: {f_c:.2f} Hz') plt.legend() plt.grid(which='both', axis='both') plt.show() f_c
Python
import numpy as np import matplotlib.pyplot as plt import scipy.signal as signal # Given values R = 4.7e3 # Resistance in ohms C = 10e-6 # Capacitance in farads # Calculate cut-off frequency f_c = 1 / (2 * np.pi * R * C) # Frequency range for plotting f = np.logspace(0, 6, 1000) # from 1 Hz to 1 MHz # Transfer function for RC low pass filter w, h = signal.freqs([1], [R*C, 1], worN=2*np.pi*f) # Plot the frequency response plt.figure() plt.semilogx(f, 20 * np.log10(np.abs(h))) plt.title('RC Low-Pass Filter Frequency Response') plt.xlabel('Frequency [Hz]') plt.ylabel('Amplitude [dB]') plt.axvline(f_c, color='red', linestyle='--', label=f'Cut-off frequency: {f_c:.2f} Hz') plt.legend() plt.grid(which='both', axis='both') plt.show() f_c
Python
import numpy as np import matplotlib.pyplot as plt # Values for R and C R = 150 # resistance in ohms C = 470e-12 # capacitance in farads # Calculate the cutoff frequency f_c = 1 / (2 * np.pi * R * C) f_c_kHz = f_c / 1e3 # Generate frequency range for plotting frequencies = np.logspace(1, 9, num=1000) # from 10 Hz to 1 GHz angular_frequencies = 2 * np.pi * frequencies H = 1 / (1 + 1j * angular_frequencies * R * C) # Plotting the filter response plt.figure(figsize=(10, 6)) plt.semilogx(frequencies, 20 * np.log10(abs(H)), label='Filter Response') plt.axvline(f_c, color='red', linestyle='--', label=f'Cutoff Frequency: {f_c_kHz:.2f} kHz') plt.title("RC Low-Pass Filter Frequency Response") plt.xlabel("Frequency (Hz)") plt.ylabel("Magnitude (dB)") plt.grid(True, which='both', linestyle='--', linewidth=0.5) plt.legend() plt.show()
Python
import numpy as np import matplotlib.pyplot as plt # Values for R and C R = 150 # resistance in ohms C = 470e-12 # capacitance in farads # Calculate the cutoff frequency f_c = 1 / (2 * np.pi * R * C) f_c_kHz = f_c / 1e3 # Generate frequency range for plotting frequencies = np.logspace(1, 9, num=1000) # from 10 Hz to 1 GHz angular_frequencies = 2 * np.pi * frequencies H = 1 / (1 + 1j * angular_frequencies * R * C) # Plotting the filter response plt.figure(figsize=(10, 6)) plt.semilogx(frequencies, 20 * np.log10(abs(H)), label='Filter Response') plt.axvline(f_c, color='red', linestyle='--', label=f'Cutoff Frequency: {f_c_kHz:.2f} kHz') plt.title("RC Low-Pass Filter Frequency Response") plt.xlabel("Frequency (Hz)") plt.ylabel("Magnitude (dB)") plt.grid(True, which='both', linestyle='--', linewidth=0.5) plt.legend() plt.show() f_c_kHz
Table
| Parameter | OPA1612AID | ADA4898-2 | LT1115 | LM4562 |
|---|---|---|---|---|
| Operating Voltage Range | 4.5V - 36V | 5V - 36V | ±2V - ±18V | ±2.5V - ±17V |
| Current Consumption | 3.6 mA per amp | 2.5 mA per amp | 3.2 mA per amp | 10 mA per amp |
| Pin Configuration | SOIC-8 | SOIC-8 | SOIC-8 | SOIC-8 |
| Package Type | SOIC-8 | SOIC-8 | SOIC-8 | SOIC-8 |
| THD+N | 0.000015% | 0.0001% | 0.000015% | 0.00003% |
Table
| Parameter | PCM1795DBR | PCM1794A | ES9018K2M | CS4398 |
|---|---|---|---|---|
| Operating Voltage Range | 3.3V and 5V | 3.3V and 5V | 3.3V and 5V | 5V |
| Current Consumption | 125 mA (total) | 135 mA (total) | 80 mA (total) | 110 mA (total) |
| Pin Configuration | TSSOP-28 | TSSOP-28 | QFN | TSSOP-28 |
| Package Type | TSSOP-28 | TSSOP-28 | QFN | TSSOP-28 |
| Dynamic Range | 123 dB | 127 dB | 127 dB | 120 dB |
| THD+N | 0.000063% | 0.0004% | 0.0004% | 0.0004% |
Table
| Specified IC | Recommended Alternative | Manufacturer | Key Specifications | Notes |
|---|---|---|---|---|
| OPA1612AID (U7) | ADA4898-2 | Analog Devices | 5V-36V Op. Voltage, 2.5 mA per amp, 0.0001% THD+N, SOIC-8 | Lower current consumption |
| LT1115 | Analog Devices | ±2V-±18V Op. Voltage, 3.2 mA per amp, 0.000015% THD+N, SOIC-8 | Equal THD+N but higher bandwidth | |
| LM4562 | Texas Instruments | ±2.5V-±17V Op. Voltage, 10 mA per amp, 0.00003% THD+N, SOIC-8 | Higher current consumption | |
| PCM1795DBR (U2) | PCM1794A | Texas Instruments | 3.3V and 5V Op. Voltage, 127 dB Dynamic Range, 0.0004% THD+N, TSSOP-28 | Higher dynamic range but higher THD |
| ES9018K2M | ESS Technology | 3.3V and 5V Op. Voltage, 127 dB Dynamic Range, 0.0004% THD+N, QFN | Comparable performance in QFN | |
| CS4398 | Cirrus Logic | 5V Op. Voltage, 120 dB Dynamic Range, 0.0004% THD+N, TSSOP-28 | Slightly lower performance |
Reviews
Portable Audio DSP 807d
Properties
Properties describe core aspects of the project.
Pricing & Availability
Distributor | Qty 1 |
|---|---|
Digi-Key | $12.93–$46.98 |
LCSC | $94.77–$95.04 |
Mouser | $54.28 |
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