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.
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An IIR low-pass filter is to be designed to meet the following specifications:
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.
1. Design a low-pass Chebyshev filter with the following specifications: (7pts) • Passband edge frequency of, Wp = 2 rads' Passband ripple of 3dB Cut-off frequency is at mid-point of the transition band • Stopband attenuation of 20dB or greater beyond ws=2.5 rads! • Find the filter transfer function H(S)
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
2. Design a digital lowpass filter to meet the following specifications: passband edge = 0.45π stopband edge = 0.5π Rp = 0.5 dB, As = 60 dB a. Design a Buttterworth filter, you may use the butterord and butter commands to implement. b. Design Chebyshev Type 1 filter ( use the equivalent commands to above ) c. Design an Elliptic fitler ( use the equivalent commands to part a ). d. List the order of each filter and find the...
Design lowpass IIR filter with the following specifications: Filter order = 2, Butterworth type Cut-off frequency=800 Hz Sampling rate =8000 Hz Design using the bilinear z-transform design method Print the lowpass IIR filter coefficients and plot the frequency responses using MATLAB. MATLAB>>freqz(bLP,aLP,512,8000); axis([0 4000 –40 1]); Label and print your graph. What is the filter gain at the cut-off frequency 800 Hz? What are the filter gains for the stopband at 2000 Hz and the passband at 50 Hz based...
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...
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.
(From Mitra M7.5.) (using matlab)Design a digital Chebyshev-I lowpass filter operating at a sampling rate of 80 kHz with a passband edge frequency at 4 kHz, a passband ripple of 0.5 dB, and a minimum stopband attenuation of 45 dB at 20 kHz using the bilinear transformation method. Determine the order of the analog prototype using the command cheb1ord and then design the analog prototype using cheb1ap. Transform the analog filter into a digital one using the bilinear command. Plot...
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...
For a sixth-order low-pass Butterworth filter (a) Find the minimum attenuation Amin if ws = 1.5wp with a 0.5-dB maximum passband ripple. (b) instead of finding Amin, find an arbitrary attenuation point for the same filter at frequency wm at the midpoint between wp and ws.