e. We have a signal which function is Inoimbo V13 (t) = sin(0.1 2 * t)...
36. Sampling a low-pass signal. A signal x(t) = sin( 1,000.71) is sampled at the rate of F, and sent through a unity-gain ideal low-pass filter with the cutoff frequency at F,/2. Find and plot the Fourier transform of the reconstructed signal z(t) at filter's output if a. F=20 kHz b. Fs =800 Hz
First Order Low-Pass Filter (ex.) Please design a LPF, where y=sin(2*pi*1t) + noise, noise standard deviation = 0.1 Cut-off frequency: Fc = 10Hz y noise y filtered y true Signa Time(s)
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
Please do it in MATLAB program Record your voice signal in .mp3 format for 2 second duration and 8kHz sample frequency. Add a coloured noise with center frequency at 4KHz, assume the SNR =-5 dB. Design a FIR low pass filter (hamming) with cutoff frequency 3 KHz in Matlab and remove the noise, assume the sampling frequency same as the sampling frequency used for recording your voice and order of the filter as 15 a. Demonstrate the operation of the...
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...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
points) Consider the signal s(t) with Fourier Transform 10 1+ω. S(a) figure below, we impulse sample s) at a frequency o, rads/second, e signal sa(t). Can you find a finite sampling frequency o such that ly recover s(t) from so()? If so, find it. If not, explain why not. a) (5 pts) In ting in the can perfectly you s (t) sa(t) →| Impulse sample at- rate o b) (5 pts) Now suppose we filter the signal s() with an...
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier of frequency 10Hz. Find and sketch the Waveform and Fourier transform of the transmitted signal before and after AM modulation. For AM modulation you can consider the simple case of DSB format (or double-sideband suppressed carrier modulation).
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...