1. Given a signal xa(t) bandlimited to 50KHz. Design a digital low pass filter that can...
. Problem 2: The signal (t) rect ) is first bandlimited with a low pass filter. The bandlimited 4 . If the bandlimited signal is sampled with f signal has a maximum frequency component of plot the spectrum of the sampled signal. ,
Problem 4: Design a first-order, strictly causal, low-pass DT filter to recover a low frequency sensor signal, corrupted by high frequency noise. The signal can contain frequencies up to 10HZ and the noise has frequencies above IkHz. The sampling frequency is 20kHz and you may assume that there is no aliasing. If the highest distortion allowed for the signal is 1% in amplitude, what is the worst-case attenuation of the noise signal? Problem 4: Design a first-order, strictly causal, low-pass...
QUESTION 6 Зро Design a second-order IIR digital low-pass filter using Butterworth approximation. Use the bilinear transformation to convert the analogue fiter to a digital one (choose the sampling period T- 2 s and the cut-off frequency as 1 rad/'s). Express the digital transfer function of the filter H(z) as: In the box below, provide the numerical answer for b1. [Note: Don't normalise the transfer func on, i.e. b0 # 1). r98111acontentid1837836_1&step QUESTION 7 Windowing based FIR filter design techniques...
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
I. QUESTION A mapping that can be utilized to design a digital high-pass filter via an analog low-pass filter prototype is 1+z-1 1-2-1° S=- 1) Show that the imaginary axis in the s-plane maps to the unit circle in the 2-plane via this mapping. Hint. Use z = rejw and s = 0 + j12. 2) Show that the left-hand side of the imaginary axis in the s-plane maps to the interior of the unit circle in the z-plane via...
MATLAB. Design your own low-pass shelving filter which can boost the low frequency of given music signal. After designing filter, apply the filter to the original music signal and observe the result. Include following plots. A. Magnitude and phase plot of your filter. B. Magnitude plot of original signal C. Magnitude plot of filtered signal
MATLAB. Design your own low-pass shelving filter which can boost the low frequency of given music signal. After designing filter, apply the filter to the original music signal and observe the result. Include following plots. A. Magnitude and phase plot of your filter. B. Magnitude plot of original signal C. Magnitude plot of filtered signal
Question 2 A bandlimited signal is sampled at the Nyquist rate (fs). The signal can be recovered by passing the samples through: a. a low-pass filter with cut-off frequency O b. an envelope detector c. a PLL Od. a high-pass filter with cut-off frequency
1- The signal x(t) is applied to a low pass filter with cutoff frequency equal to 1; write a MATLAB code to find and plot X(f), H(f) and the output of the filter Y(f), where x(t) is given below: x(t) -0.5 0.5 2- Apply the signal x(t) in the previous example to a HPF, BPF and BSF and draw the output signal Y(f). 3- Find and Plot the transfer function of BSF.
The following periodic signal is input to an ideal low pass filter of bandwidth 25 KHz. 1. x(t) 2 a) Determine the average power of the signal x(t). b) If T 0.1 ms, give the output of the filter as a function of time, y(t) e) Determine the average power of the signal y(t) d) Determine the bandwidth of the signal y(), considered as a baseband signal. e) Now assume that the signal x() (with T-0.1 ms) is instead input...