Question 22 of 4 Question 22 0.5 points Save Compute the equivalent analog cutoff frequency of...
An IIR low-pass filter is to be designed to meet the following specifications: 1. Passband cutoff frequency of 0.22 π with a passband ripple less than 0.01.2. Stopband cutoff frequency of 0.24 π with a stopband attenuation greater than 40 dB.(i) Determine the filter order required to meet these specifications if a digital butterworth filter is designed using the bilinear transformation. (ii) Determine the filter order required to meet these specifications if a digital chebyshev filter is designed using the bilinear transformation.
1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c 0.6TT a) b) c) Evaluate the transfer function of the analog filter (10marks) Skecth the block diagram of transfer function (5 marks) Plot the magnitude response of the filters. (5marks) 1. By using an analog filter with a Butterworth response of order 3, design a digital IIR low pass filter with 3-db cutoff frequency 2c...
A digital low pass IIR filter is to be designed with Butterworth approximation using the Bilinear transformation technique having the following specifications:(i) Passband magnitude is constant within 1 dB for frequencies below 0.2 π.(ii) Stopband attenuation is greater than 15 dB for frequencies between 0.3 π to π. Determine the order of the filter, cutoff frequency, poles location and transfer function of digital filter in order to meet the above specifications.
3. In this problem you will identify the system/transfer function H(e) of a Butterworth digital filter using the impulse invariance approach. Design a Butterworth low pass filter that meets the follow- ing specifications. Passband gain is atleast -2 dB and stopband attenuation is atleast -20 dB, i.e. 0.79433 lH(ejw)I l in the frequency range 0 0.2π and lH(eM)I 0.1 in the frequency range 0.4π-lal T. (a) Sketch the specifications and identify the pass band tolerance, stop band tolerance, transition, passband...
Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a low-pass first order filter is used, determine the attenuation (Attenuation %, and Attenuation(dB)) of the filtered analog signal at 50, 75 and 200 Hz. (use k -1) o Determine the order of the filter if magnitude ratio of <0.01 is needed at 200 Hz. Problem 3) (15 points) An RC filter is designed with a cutoff frequency of 100 Hz. If a...
3.5 Design both (a) a Butterworth and (b) a Chebyshev analog low-pass filter that have a -3-dB cutoff frequency of 100 rad/sec and a stopband attenuation of 25 dB o greater for all radian frequencies past 250 rad/sec. Plot 20 log H ) for your filters and show that you satisfy the requirements at the critical frequencies.
NI+N2-1. Find the output y(n) by using the DFT and the inverse DFT method. 4. (20 points) Design a lowpass Butterworth filter with the following specifications: A desired peak passband ripple Rp of 2 dB, the minimum stopband attenuation R, of 60 dB, the passband edge frequency op of 1000 rad/sec, and stopband edge frequency os of 3000 rad/sec (1) Estimate the order for this filter (2) Estimate the cut-off frequency for this filter. 5. (20 points) Consider the first-order...
Design a second order IIR Butterworth low pass digital filter with a cutoff frequency of 500 Hz and a sampling frequency of 10,000 Hz using bilinear transformation then find the following: The output (response) due to the following inputs: Sinusoidal signal with a frequency of 100Hz. Sinusoidal signal with a frequency of 500Hz. Sinusoidal signal with a frequency of 2000Hz. Repeat (a) above for a 6thorder Butterworth filter
Question 3 Consider a discrete-time signal sequence given as follow: *(n) = cos ) for 0 Sns3 3 ) Calculate the 4-point Discrete Fourier Transform (DFT) of x(n). (15 marks) Calculate the radix-2 Fast Fourier Transform (FFT) for x(n). (10 marks) [Total: 25 marks) Ouestion 4 digital low-pass filter design based on an analog Chevyshev Type 1 filter requires to meet the following specifications: Passband ripple: <1dB Passband edge: 500 Hz. Stopband attenuation: > 40 dB Stopband edge: 1000 Hz...
.1. Find the Butterworth polynomial of a 6th order filter. 2. Consider a low-pass Butterworth active filter that has a passband gain of 20 and a cutoff frequency of 3 kHz. Compute the minimum order of the filter required such that GdB @30k ≤-40