If I sample a 1kHz cosine wave with amplitude 1V at a sampling frequency of 0.5kHz,...
Problem 3: Sampling a Cosine (again) The continuous-time signal ra(t) = cos (150) is sampled with sampling period T, to obtain a discrete-time signal x[n] = XanT). 1. Compute and sketch the magnitude of the continuous-time Fourier transform of ra(t) and the discrete-time Fourier Transform of x[n] for T, = 1 ms and T, = 2 ms. 2. What is the maximum sampling period Ts max such that no aliasing occurs in the sampling process?
4) a) Find and sketch the frequency spectrum of the half-wave rectified cosine wave form in Figure (a): 8 -6 -4 -2 2 4 6 8 10 (ms) b) What are the Fourier series coefficients of the above signal
A Pulse Amplitude Modulated (PAM) signal is generated by naturally sampling a triangular wave of amplitude 3 volt peak and frequency 1 KHz as shown in Figure 4 by a pulse train of frequency 4 kHz with a pulse width of 0.025 ms. Draw the sampled waveform Message signal 3V 1 ms tms 3V-- (9 Marks) Figure 4 A Pulse Amplitude Modulated (PAM) signal is generated by naturally sampling a triangular wave of amplitude 3 volt peak and frequency 1...
Part I: Black Box A Design your first black box adhering to the following specifications A. Input Signal to Black Box A 1. A 1 kHz cosine wave with amplitude of 1V. B. Output Signal from Black Box A 1. A 1 kHz sine wave with amplitude of Hint: Use an ideal op-amp C. Explain your design process. What type of circuit did you design? Discuss D. Why did vou use an op-amp? Could another component be used instead? Why...
3. You have bought a data acquisition device from Ebay. The sampling interval of the device is 1 msec. a. What is the sampling frequency of the device? What is the folding frequency of the device? Now, you are measuring following sinusoidal signals with the data acquisition device. For each signal, draw 1) Fourier transform magnitude of the original continuous-time signal, 2) Fourier transform magnitude of the sampled signal (draw at least first positive replica and first negative replica), 3)...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
1. For the 4 circuits shown below, sketch the output waveform for a 1V peak, 1kHz, sinusoidal wave in put signal. Assume the diodes are ideal and they exhibit ON-OFF switch model behaviour. Create an ideal diode model in LT-Spice with the following specification [.model IdealDiode D(Ron=0.1m Roff=100G Vfwd-0.0) ] simulate the circuit and verify the output waveform. Vin Vout Vin Vout 1k 1k (a) (b) 1k Vin 1k Vin Vout Vout ww 1k (c) (d) KH 1. For the...
Hello, Experts! Tomorrow i have a final examination, so please giving me a hand to solve this question. Here is my question. Thank you so much!! Question 1: (25 marks) The continuos time signal Xa(t) has the Fourier transform shsown in the Figure Q.1. Xa(t) then is sampled with the sampling frequencies f, to get the discrete time signal xa(n). Sketch Xa(o), the DTFT of xa(n), for different sampling frequencies 4kHz; 2kHz, and 1kHz. D.What is the minimum sampling rate...
Write a program on Lab View for generating a sinusoidal signal (frequency = 1kHz, amplitude = 5V) with waveform graph display. Use a while loop.(BLOCK DIAGRAM REQUIRED)
MATLAB Fourier transform. Suppose that a signal x(t) is sampled with sampling frequency fs =100Hz. The sequence x[n] obtained after the sampling is given below: Take the DFT of the sampled sequence and plot its magnitude and phase. What is the frequency resolution (Δf) of your plot? N= 20, 100 Hz N= 20, 100 Hz