6. Thank You and Thumps up Obtain the impulse response of a multiband filter with the...
a) The transfer function of an ideal low-pass filter is and its impulse response is where oc is the cut-off frequency i) Is hLP[n] a finite impulse response (FIR) filter or an infinite impulse response filter (IIR)? Explain your answer ii Is hLP[n] a causal or a non-causal filter? Explain your answer iii) If ae-0. IT, plot the magnitude responses for the following impulse responses b) i) Let the five impulse response samples of a causal FIR filter be given...
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Using the following two finite-length sequences: (a) Obtain the linear convolution of the two sequences. (b) Obtain the circular convolution of the two sequences. (c) Obtain the linear convolution of the two sequences using the overlap-and-add method with a partition size of4 (d) Obtain a factor of two interpolation of the sequence x with filter h using:() upsampling followed by filtering, and (i) the polyphase method
Using the following two finite-length sequences: (a) Obtain...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where M is an even integer. Derive the filter's frequency response and show that it has a linear phase. Why is linear phase a desired property ? (b) You are asked to design a linear-phase FIR filter. The required pass-band is from 1,000 Hz to 3,000 Hz. The input signal's sampling frequency is 16, 000Hz e the pass-band in the w domain 1. GlV n...
Consider a filter characterized by the following impulse response: h [1, 2, -1, 1] Which of the following statements are true about the filter? Assume that the sampling frequency in this application is 8192 Hz. (You may use MATLAB to help you analyze this filter). o 1. The filter characterized by h = 1 2 1 1 Is a frequency selective FIR filter. In terms of the frequency response the ter is best characterized as a band-stop filter with a...
The transfer function of an ideal low-pass filter is given by: 4. a) i Prove that its impulse response is given by: a sin(na) π (na) where (Q is the cut-off frequency [-consoo] ii Is hIn] a FIR or an IIR filter? Is it causal or anti-causal filter? Explain 3 your answer. iii) If g. 0.1 π, plot the magnitude responses for the following impulse responses:
The transfer function of an ideal low-pass filter is given by: 4. a) i...
Question 5 (a) The impulse response of a discrete-time filter is given as, hin) 0.56n-1] +n-2)0.56 n -3]. i. Derive the filter's frequency response; 11. Roughly sketch the filter's magnitude response for 0 ii. Is it a low-pass or high-pass filter? Ω 2m; (b) A continuous-time signal se(t) is converted into a discrete-time signal as shown below. s(t) is a unit impulse train. s(t) x,) Conversion into x(1) __→ⓧ一ㄅㄧ-discrete-time sequence ー→ xu [n] The frequency spectrum of ap (t) is...
The impulse response of a filter is given by the function:
Use convolution to calculate the step-response/output of the filter.
- no x[n] was given in the task
h[n] = a[n]-20[n-1] + 0[n-2]
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6. [15 POINTS] Consider a passive low-pass filter as shown below. 1k2 + - m - + Vin(t) 1 mF Vout(t) a) Derive a transfer function for the above circuit. b) Derive a time-domain expression for the unit impulse response of the circuit. Also, plot the impulse response as a function of time. c) Derive a time-domain expression for the unit step response of the circuit. Also, plot the step response as a function...
10. Prove that a FIR filter is stable regardless of the filter impulse response.
EE 448 Homework #6 1. Determine the impulse response, h(n), and plot the magnitude frequency response of each of the following FIR filters using the specified window methods. (25 pts) Low-pass filter having a cutoff frequency of /5, using the rectangular window and M-25 a. b. (25 pts) Low-pass filter having a cutoff frequency of z/5, using the Bartlett window and M=25 (25 pts) Low-pass filter having a cutoff frequency of /5, using the Hamming window and M-25 c. d....