A 250Hz continuous time signal is sampled at Fs = 700Hz and then filtered by the FIR filter with ...
A 250Hz continuous time signal is sampled at Fs = 700Hz and then filtered by the FIR filter with impulse response h [ n ] = [ 1 3 − 2 − 4 ] . What is the magnitude of the gain imparted by the filter at that frequency? Your answer should have one decimal place of accuracy.
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A 250Hz continuous time signal is sampled at Fs = 700Hz and then filtered by the FIR filter with ...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs =...
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
. A continuous-time signal is given by, x(r) = cos(1600m) +5cos(8000m)+ 3cos(2300m) +2cos(1400π ...
. A continuous-time signal is given by, x(r) = cos(1600m) +5cos(8000m)+ 3cos(2300m) +2cos(1400π a) Choose sampling frequeney (S,) as twice the Nyquist rate to find x(n) and its period, N. magnitudes, X(k)for one period of x(n. in part-b to design a non-recursive (FIR) digital filter b) For the xen) ound in part-a, sketch the DFT o) usin the hamwline frergueney found in parth to desiegn a non-recursive (FIR) digital fiter using windowing functions such that the three smaller frequencies are...
number 2 ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z()...
number 2
ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the...
Please answer in as much detail as possible. Thank you. Question 1 Check each FIR frequency...
Please answer in as much detail as possible. Thank you.
Question 1 Check each FIR frequency response property statement below that is true and leave blank each false statement. H (eJ is periodic with period TT. If the FIR coefficients are all real-valued, then the frequency response is conjugate symmetric or The first difference FIR filter defined by: removes any DC component in the input signal because the frequency response is zero at A cascade of two linear time-invariant (LTI)...
ON MATLAB: ii. Using FIR low-pass filter, remove signal S2, considering fc = 20 Hz as a...
ON MATLAB: ii. Using FIR low-pass filter, remove signal S2, considering fc = 20 Hz as a cut-off frequency and consider two sets of filter coefficients: 11 and 301. Plot the time and frequency domain of the filtered signal, and comment. the process x(n) is sum of two signals S1 and S2; mathematically be described as: ?(?) = ?1 + ?2 where ?1 = ?1cos(2??1??? ) and ?2 = ?2cos(2??2??? ), A1 = A2 = 1; f1 = 10Hz; f2 =...
a/ If the impulse response of an FIR filter is h[n] = δ[n] - 4δ[n-1] + δ[n-2], make a plot of the output when the input is the signal: x[n] = δ[n-2] - δ[n-4]. b/ Determine the frequency response, H(ω)...
a/ If the impulse response of an FIR filter is h[n] = δ[n] - 4δ[n-1] + δ[n-2], make a plot of the output when the input is the signal: x[n] = δ[n-2] - δ[n-4]. b/ Determine the frequency response, H(ω), and give the answer as a simple formula. c/ Determine the magnitude of H(ω) and present your answer as a plot of the magnitude vs frequency. Label important features.
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs....
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs. Answer the following: for a given sampling frequency Fs, what is the range of f so that the continuous time signal has a unique sampled signal? What happens if f is outside this range? Show you result using a number of illustrative Matlab plots (with suitably chosen Fs and f, try for example (some of) F=0.1Fs, 0.2Fs,..., 2Fs – but don't include all plots...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
(a) The impulse response hfn of an FIR filter satisfies the following property: h[n]- otherwise where...
(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...
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with...
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with cutoff frequency wc = 10007. If impulse-train sampling is performed on x(t), which of the following sampling periods would guarantee that y(t) can be recovered from its sampled version using an appropriate lowpass filter? (a) T=0.5x10-3 (b) T=2x10-3 (c) T=10-4
Consider a sampler which samples the continuous-time input signal x(t) at a sampling frequency fs = 8000 Hz and produces at its output a sampled discrete-time signal x$(t) = x(nTs), where To = 1/fs is the sampling period. If the sampled signal is passed through a unity-gain lowpass filter with cutoff frequency of fs/2, sketch the magnitude spectrum of the resulting signal for the following input signals: (a) x(t) = cos(6000nt). (b) x(t) = cos(12000nt). (c) x(t) = cos(18000nt).
. A continuous-time signal is given by, x(r) = cos(1600m) +5cos(8000m)+ 3cos(2300m) +2cos(1400π a) Choose sampling frequeney (S,) as twice the Nyquist rate to find x(n) and its period, N. magnitudes, X(k)for one period of x(n. in part-b to design a non-recursive (FIR) digital filter b) For the xen) ound in part-a, sketch the DFT o) usin the hamwline frergueney found in parth to desiegn a non-recursive (FIR) digital fiter using windowing functions such that the three smaller frequencies are...
number 2
ECE 300 Continuous-Time Signals and Systems H(jø π/2 Plot the spectrum Z (jø) of the filtered input signal z(), the spectrum Z, (jo) of the sampled signal z.(t), and the spectrum Y(ja) of the reconstructed signal y(t). Show clearly how the output spectrum Y (ja) differs from the original spectrum G(jo) C. Which system, A or B, produces less distortion between the input g(t) and the output y(4) or ()? Explain. You can measure distortion by finding the...
Please answer in as much detail as possible. Thank you.
Question 1 Check each FIR frequency response property statement below that is true and leave blank each false statement. H (eJ is periodic with period TT. If the FIR coefficients are all real-valued, then the frequency response is conjugate symmetric or The first difference FIR filter defined by: removes any DC component in the input signal because the frequency response is zero at A cascade of two linear time-invariant (LTI)...
a. Consider the following signal xi(t)= cos(2aft) The signal is sampled with the sampling frequency Fs. Answer the following: for a given sampling frequency Fs, what is the range of f so that the continuous time signal has a unique sampled signal? What happens if f is outside this range? Show you result using a number of illustrative Matlab plots (with suitably chosen Fs and f, try for example (some of) F=0.1Fs, 0.2Fs,..., 2Fs – but don't include all plots...
Topics: Filter Design by Pole Zero Placement PROBLEM Problem #2 . a) Design a simple FIR second order filter with real coefficients, causal, stable and with unity AC gain. Its steady state response is required to be zero when the input is: xIn]cos [(T/3)n] u[n] H(z) R.O.C: answer: b) Find the frequency response for the previous filter. H(0) c) Sketch the magnitude frequency response. T/3 t/3 d) Find the filter impulse response. h[n] e) Verify that the steady state step...
(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...
1. A continuous-time signal x(t) is obtained at the output of an ideal lowpass filter with cutoff frequency wc = 10007. If impulse-train sampling is performed on x(t), which of the following sampling periods would guarantee that y(t) can be recovered from its sampled version using an appropriate lowpass filter? (a) T=0.5x10-3 (b) T=2x10-3 (c) T=10-4
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