Consider the signal at right. a) Based on the plot, what is the fundamental period of...
Consider the signal at right. a) Based on the plot, what is the fundamental period of this signal? b) From the fundamental period, compute the fundamental frequency in Hertz. c) This signal was computed from the equation What is the fundamental circular frequency, oo? d) If this signal is passed through a first-order low- pass filter with corner frequency of 0.2 Hz, write an expression for the output of the filter. e) Plot the original signal and the filtered signal...
(a) Given the following periodic signal a(t) a(t) -0.5 -0.25 0 0.25 0.5 0.75 1 1.25 1.5 i. [2%) Determine the fundamental period T ii. [5%] Derive the Fourier series coefficients of x(t). iii. [396] Calculate the total average power of z(t). iv. [5%] If z(t) is passed through a low-pass filter and the power loss of the output signal should be optimized to be less than 5%, what should be the requirement of cutoff frequency of the low-pass filter?...
Prob. 5 (a) Consider the FM signal with modulation index B 2 is passed through an ideal band-pass filter (BPF) with mid-band frequency f and bandwidth 5f. where f is the carrier frequency and fmis the frequency of the baseband modulating signal (i) Sketch the spectrum of the BPF output. (ii) Determine the fraction of the power of the FM signal that is present at the output of the filter (b) Consider the FM signal given by фFM (t)-100 cos...
Let a periodic signal x(t) with a fundamental frequency ??e2? have a period 4.6 (a) Plot x(t), and indicate its fundamental period To (b) Compute the Fourier series coefficients of x(t) using their integral (c) (d) Answers: x(t) is periodic of fundamental period definition. Use the Laplace transform to compute the Fourier series coefficients Xk. Indicate how to compute the dc term. Suppose that y(t) = dx(t)/dt, find the Fourier transform of x(t) by means of the Fourier series coefficients...
Digital Signal Processing (Question estion# 2].Determine the fundamental period, the fundamental frequency and the average power of the following periodic sequences: 19 Points a. x1[n] = e 10.5 b. x2[n] = 3 cos(1.31n) - 4 sin (0.57 +") c. x3[n] = 5 cos (1.2 ttn + + 4 cos(0.6ın) - sin(0.2 ton)
Below is the MATLAB code of low-cut shelving filter which can cut the low frequency of given music signal and low-boost shelving filter which can boost the low frequency of given music signal. Design your low-boost shelving filter and low-cut shelving filter to have noticeablly different sound. Compare the sounds of two music signals after filtering, and explain the difference in sounds briefly. If there are any mistakes in code, correct them. Low-cut shelving filter code: close all, clear all,...
Question 2 (50 points]: Continuous-Time Signals Given the following continuous-time signal (t). (t) 5t (a) [4%] What is the fundamental period (i.e., T) and fundamental frequency (ie, wo) of (+)? (b) [8%] Calculate the time average, average power and total energy of x(t). Is x(t) an energy signal? Explain. (c) [8%] Calculate the Fourier series coefficients of (t), i.e., {x}. [Hint: You can make use of the result in Q1(a).] (d) [8%] What is the percentage of power loss if...
Suppose that a period signal x(t) is defined by the plot below No idea how they're getting the answers on this page. PROBLEM Spring-2020-Q.2.2: Suppose that a periodic signal r(t) is defined by the plot below (only the section - 12<t < 12 is shown, although the signal is define for -0 <t<oo). 1ERA -12 -8 4 8 12 (a) [2 points] Determine the fundamental frequency of r(t) in radians/second. wo = 7/6 rad/s (b) [4 points] Since r(t) is...
(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...
filtering of periodic signals: damental frequency 120 = 1/4 is the Answers: Gk = 0.J, Consider the following problems related to filtering of (a) A periodic signal x(t) of fundamental frequen input of an ideal band-pass filter with the following response the following frequency 11312 3 3/2 1 -37% -21 322 5 3/2 ZH(N2) = 2 -3/2 223 - 0 otherwise ero Fourier series coefficients of x(t) are (92)/ = o otherwise The non-zero Fourie X = X-1 = ),...