Design a low-pass filter (LPF) has pass-band frequency fP = 100 kHz, maximum attenuation in passband Amax = 2 dB, stop-band frequency fS = 120 kHz, minimum attenuation in stop-band Amin = 60 dB.
a/ Calculate the minimum order N for Chebyshev filter and the corresponding minimum stop-band attenuation?
b/ Calculate the minimum order N of low-pass B
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Design a low-pass filter (LPF) has pass-band frequency fP = 100 kHz, maximum attenuation in passband Amax = 2 dB, stop-band frequency fS = 120 kHz, minimum attenuation in stop-band Amin = 60 dB.
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.
a/ Determine the order N of the Butterworth filter, which satisfies Amax = 1 dB, ωs /ωp = 1.5, and Amin = 30 dB. b/ Re-calculate the minimum attenuation in stop band with the value of N in part (a). c/ If Amin is maintained exactly at 30 dB, then how many dBs that Amax decreases compared to the original specification?
Block diagram of a real time signal processing system is shown in Figure 1. Assuming that the system operates in audio frequency band (0 to 20 KHz) and uses bipolar, analog to digital converter (ADC) with peak to peak input voltage range= 10 Volt is used, estimate: i. The quantization step size; (2 Marks) ii. The minimum stop band attenuation in dB, Amin, for the anti-aliasing filter; (4 Marks) iii. Sketch the frequency response of the antialiasing filter; iv. The...
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)
Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200Hz. The sampling frequency is 10kHz. 1. Using the windowing functions discussed in class, design a low-pass FIR filter with a cutoff frequency of 2 kHz, a minimum stop band attenuation of 40 dB, and a transition width of 200 Hz. The sampling frequency is 10 kHz 2....
MUST BE IN MATLAB Design a low pass filter for this signal. Set the pass band frequency to 4.9 GHz and the stop band frequency to 5.6 GHz. Allow for 1 dB of attenuation in the pass band and require at least 20 dB of attenuation in the stop band. a. First design a Butterworth filter. Use the command buttord() to determine the order and the normalizing frequency for the filter. Use [Num,Den]=butter() to determine the numerator and denominator coefficients...
just do 4 , 3 is solved 3. Use a Bilinear Transform to design a Butterworth low-pass filter which satisfies the filter specifications: Pass band: -1Ss0 for 0sf s0.2 Stop band: (e/40 for 0.35sf s0.s Transition Band: 0.2<f<0.35 Sampling Frequency: 10 kHz a. (3) Determine the stop-band and pass-band frequencies, Fstop and Fpas, in kHz. b. (3) Calculate the fater order, n, which is necessary to obtain the desired filter specifications. (3) Calculate the corner frequency, Fe, if you want...
Design a low pass filter with a cutoff frequency of 1 kHz +/- 100 Hz and a gain of 16.0 dB +/- 1.0 dB in the passband. The R2 and C components of the filter control the cutoff frequency, and are inversely proportional to the cutoff frequency. So decreasing the resistance or capacitance will increase the cutoff frequency. The R1 and Rf components determine the gain of the amplifier. Increasing the value of Rf will increase the gain. Increasing the...
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...
Design a low-pass Butterworth filter which meet the specification as below: . Attenuation at least 18 dB at 3o i. Cut-off frequency is 150 kHz. Given th at magnitude function of nth order Butterworth is defined by Hj@) , where n positive integer, o,cut-off frequency 2Pm a) and the list of polynomials of Hen(s) up to n-6 as shown in Table 1 Polynomial 2 (2 +1.414s t) 40.7654s 1 ( 1.8478s+1) 5 s l) +0.6180s1)(+1.6180s D) 60.5176s+ D +1.4142s+ (...