Given the waveform find the spectrum of w(t)-AX П () sin agt by using the multiplication...
Given the waveform find the spectrum of w(t)-AX П () sin agt by using the multiplication theorem as discussed in Example 2-10 Question 9 135 marks] Question 10 Given w(t) 5+12 coswot, where fo 10 Hz, find [18 marks] a) Rw(r). [17 marks] Question 11 Find expressions for the complex Fourier series coefficients that represent the waveform shown in figure below x(t) 20 135 marks) Given the waveform find the spectrum of w(t)-AX П () sin agt by using the...
(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...
How to find the fourier series and sketch the spectrum x(t) Help me to find the laplace transform for a and b Help me to find system response Question 1 (8 marks) a) Determine the Fourier series coefficients of the periodic signal x(t) shown in Figure 1. Determine the de value of x(t)! b) Sketch the spectrum of x(t). x(t) -352 10 T2 31/2 -A Figure 1 O XU) RUOLO elsewhere exe(t) = el, a > 0 1) Sketch the...
Please finish these questions. Thank you Given find the Fourier transform of the following: (a) e dt 2T(2 1) 4 cos (2t) (Using properties of Fourier Transform to find) a) Suppose a signal m(t) is given by m()-1+sin(2 fm) where fm-10 Hz. Sketch the signal m(t) in time domain b) Find the Fourier transform M(jo) of m(t) and sketch the magnitude of M(jo) c) If m(t) is amplitude modulated with a carrier signal by x(t)-m(t)cos(27r f,1) (where fe-1000 Hz), sketch...
Question We are given the following signal (t), which is also known as "infinite train" of Dirac delta functions. w(t) TITI t(ms) -20 -10 0 10 20 30 Write a mathematical expression for w(t) in the time domain. Find the Fourier coefficients of the signal using the definition and its Fourier transform W(S) [Note that results without correct derivation will get minimal points]. Sketch the signal magnitude spectrum | W (f). Is this signal an energy or a power signal?...
Seems long but it's not too bad. the book used in class is: Advanced Engineering Mathematics by Erwin Kreyszig i will give thumbs up Thank you Problem 3 (Frequency Response Testing) A common application for Fourier in mechanical design relates to the concept of resonance that we discussed earlier in the semester. Recall that resonance occurs when you drive a mechanical or electrical system at or near its natural frequency, whích then causes large amplitude oscillations. For relatively simple systems...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
4. Sets of spectra are given for an unknown on the next page. For each spectrum list the structural characteristics you find. Using these features propose a structure for t and verify the proposal for the major features of each spectrum. (12) the compou IR: 'H NMR: 1BC NMR Proposed Structure: MS: w 137 C 70.0 Maas Spec. Data S 1 1u8 10 เรา59 3H 2H 2H 2H 2H PPM Proton PPW 140 20 Carbon 13 NHR 4. Sets of...