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Design a filter, H(f) (i.e. plot the magnitude of H(f) and phase of H(f)that would give the respo...
(2) A filter H) has the magnitude (on the left graph) and phase (on the right...
(2) A filter H) has the magnitude (on the left graph) and phase (on the right plot) response shown below. The input x() to this filter is 4cos(30rt)-3sin(100)+7cos(240rt). Determine the resulting output. -100 -100 40 0 40 100 f(Hz) 0 100 f (H2) -70
10. An input signal x(t) is processed by a filter with an amplitude | H(f) |...
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
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...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the Table P5 Table P5 Frequency Magnitude Phase 0 rad/s 50 500 4500 10000 dB -40 -20 -3 0 90 90 45 a) Find an expression for the output signal Vo(t) when input signal is vs(t)-10 sin(4500t+10) b) Find a steady-state expression for Vo(t) when input signal is vs(t)-50 cos(50t-45°).u(t) c) Find a steady-state expression for vo(t) when input signal is vs(t)-15 sin(10000t+550).u(t) d)...
4s +1 2s2 +13s 20 H(s) = 1- Use MATLAB to plot the magnitude and phase...
4s +1 2s2 +13s 20 H(s) = 1- Use MATLAB to plot the magnitude and phase responses of this filter. Label 2- What is the type of this filter type (lowpass, highpass, bandpass,.. .? Plcase 3- Derive the partial fraction expansion of H(s) using the residue command in 4- Determine the impulse response h(t) of the system and plot it using MATLAB. the axes completely. explain. MATLAB and write the expression.
Design a linear-phase, bandpass FIR filter using the window-based approach to meet the following specifications: ws,L...
Design a linear-phase, bandpass FIR filter using the window-based approach to meet the following specifications: ws,L = 0.3T,ap.L = 0.45T,Wp u = 0.65T, "Au-0.8T, mini- mum stopband at (i) Is there a unique window to meet the desired specifications? If not, choose the window with minimum transition width (ii) Plot the magnitude and phase response of the designed filter using MATLAB. (iii Using the MATLAB command firpm, design the same linear-phase bandpass FIR filter via the Parks-McClellan algorithm. Plot the...
NOTE: PLEASE DO Q.3 Part d and e Answers are given below: Question 3 (16 marks)...
NOTE: PLEASE DO Q.3 Part d and e
Answers are given below:
Question 3 (16 marks) Consider the periodic signal T v(t)24 cos(2t ) - 4 sin(5t - 2 The signal v is given as an input to a linear time-invariant continuous-time system with fre- quency response 4 0 lwl 2 2 jw H(w) lwlT 2, 1 2 jw (a) 3 marks] Find the fundamental period To and frequency wo of v (b) [3 marks] Express v in cosine sine...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase of the frequency response. Make sure the frequency range is wide enough to show enough details. Assume R1 = R2 = 1k1, C1 = 7.5nF, and C2 = 2.5uF.
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequenc...
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequency response function H(ju) Ve-ju) / Vm(ju) and sketch the magnitude and phase characteristics versus w by calaulation. Calculate the theoretical cutoff frequency of the filter Using PSpice AC analysis, plot magnitude lHju)l and phase ф characteristics of the filter, between 1 Hz-100 KHz b) c)
5) Consider the following second-order bandpass...
(2) A filter H) has the magnitude (on the left graph) and phase (on the right plot) response shown below. The input x() to this filter is 4cos(30rt)-3sin(100)+7cos(240rt). Determine the resulting output. -100 -100 40 0 40 100 f(Hz) 0 100 f (H2) -70
10. An input signal x(t) is processed by a filter with an amplitude | H(f) | and phase θ(f) response given below H(f) 90 70 50 30 10 10 θ(f) 25 -50 70 05 35 -3-252 -15105 0 05 115 2 25 3 35 -35-3-25-2-15-1-05 0 0.5 15 2 25 35 frequency (kHz) frequency (kHz) a) For x,(t)-2cos(22500t) find output signal ya(t) b) For x,(t) 4cos(27750t) find output signal yb(t) c) For x,(t)=2cos(2π500t) +4cos(2π750t) find output signal ye(t) d) For...
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...
Discrete Time Signal Processing Question 1. Consider an IIR filter A(1-2-1 cos ω0) 1-2cos ω02-1+2 I. Compute its impulse response using the difference equation with an impulse signal δ(n) as the input. Use trigonometric identities to simplify the result as much as you can 2. Draw the diagram showing the implementation of this filter in terms of adders, delays and multipliers Note: The IIR filter above generates a cosinusoidal signal when an impulse signal is applied at its input.] Question...
Problem 5) The approximate magnitude and phase values of a passive filter circuit is given in the Table P5 Table P5 Frequency Magnitude Phase 0 rad/s 50 500 4500 10000 dB -40 -20 -3 0 90 90 45 a) Find an expression for the output signal Vo(t) when input signal is vs(t)-10 sin(4500t+10) b) Find a steady-state expression for Vo(t) when input signal is vs(t)-50 cos(50t-45°).u(t) c) Find a steady-state expression for vo(t) when input signal is vs(t)-15 sin(10000t+550).u(t) d)...
4s +1 2s2 +13s 20 H(s) = 1- Use MATLAB to plot the magnitude and phase responses of this filter. Label 2- What is the type of this filter type (lowpass, highpass, bandpass,.. .? Plcase 3- Derive the partial fraction expansion of H(s) using the residue command in 4- Determine the impulse response h(t) of the system and plot it using MATLAB. the axes completely. explain. MATLAB and write the expression.
Design a linear-phase, bandpass FIR filter using the window-based approach to meet the following specifications: ws,L = 0.3T,ap.L = 0.45T,Wp u = 0.65T, "Au-0.8T, mini- mum stopband at (i) Is there a unique window to meet the desired specifications? If not, choose the window with minimum transition width (ii) Plot the magnitude and phase response of the designed filter using MATLAB. (iii Using the MATLAB command firpm, design the same linear-phase bandpass FIR filter via the Parks-McClellan algorithm. Plot the...
NOTE: PLEASE DO Q.3 Part d and e
Answers are given below:
Question 3 (16 marks) Consider the periodic signal T v(t)24 cos(2t ) - 4 sin(5t - 2 The signal v is given as an input to a linear time-invariant continuous-time system with fre- quency response 4 0 lwl 2 2 jw H(w) lwlT 2, 1 2 jw (a) 3 marks] Find the fundamental period To and frequency wo of v (b) [3 marks] Express v in cosine sine...
Ri vo(t) = 0 Figure 19: Bandpass filter Use Matlab to plot the magnitude and phase of the frequency response. Make sure the frequency range is wide enough to show enough details. Assume R1 = R2 = 1k1, C1 = 7.5nF, and C2 = 2.5uF.
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequency response function H(ju) Ve-ju) / Vm(ju) and sketch the magnitude and phase characteristics versus w by calaulation. Calculate the theoretical cutoff frequency of the filter Using PSpice AC analysis, plot magnitude lHju)l and phase ф characteristics of the filter, between 1 Hz-100 KHz b) c)
5) Consider the following second-order bandpass...
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