Question

1. what is the calculation of the Fourier transform of a signal in both cases: periodic...

1. what is the calculation of the Fourier transform of a signal in both cases: periodic and aperiodic.
2. Find the formula of the Fourier transform of a rectangular signal of amplitude A and of period T.
3. How do elongations of the harmonics of the square wave evolve according to their index?

Engineering   Electrical-Engineering   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here's the answer for question 1.

The main drawback of Fourier series is, it is only applicable to periodic signals. There are some naturally produced signals such as non-periodic or aperiodic, which we cannot represent using Fourier series. To overcome this , Fourier developed a mathematical model to transform signals between time domain to frequency domain & vice versa, which is called 'Fourier transform'.

Fourier transform has many applications in physics and engineering such as analysis of LTI systems, RADAR, astronomy, signal processing etc.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given signal x(t) = sinc(t): 1. Find out the Fourier transform of x(t), find X(f), sketch...
Given signal x(t) = sinc(t): 1. Find out the Fourier transform of x(t), find X(f), sketch them. 2. Find out the Nyquist sampling frequency of x(t). 3. Given sampling rate fs, write down the expression of the Fourier transform of xs(t), Xs(f) in terms of X(f). 4. Let sampling frequency fs = 1Hz. Sketch the sampled signal xs(t) = x(kTs) and the Fourier transform of xs(t), Xs(f). 5. Let sampling frequency fs = 2Hz. Repeat 4. 6. Let sampling frequency...
Given the following Laplace transform functions and input wave-forms, find the output signal. G(s)=(s^2+3s+4)/s(s+1),v in(t)=3sin(2t-0.15)
Given the following Laplace transform functions and input wave-forms, find the output signal. G(s)=(s^2+3s+4)/s(s+1),v in(t)=3sin(2t-0.15)
f(t)is an odd, periodic function with period 1 and f(t)=3−6t     for     0≤t≤0.5 (I) Find the Fourier coefficient...
f(t)is an odd, periodic function with period 1 and f(t)=3−6t     for     0≤t≤0.5 (I) Find the Fourier coefficient an. Put in this value only ie. Omit the "an = " This question accepts numbers or formulas. Plot | Help | Switch to Equation Editor | Preview (II) Find the Fourier coefficient b5. Put in this value only ie. Omit the "b5 = " Give your answer to AT LEAST FOUR PLACES OF DECIMALS. This question accepts numbers or formulas. Plot | Help...
1. An amplitude modulated system has following parameters: Modulating signal frequency fm = 500 Hz, Carrier...
1. An amplitude modulated system has following parameters: Modulating signal frequency fm = 500 Hz, Carrier frequency fc = 2KHz. Draw a two-sided spectrum with approximately scaled frequencies and amplitude. Consider perfect modulation (mod index = 1). 2. What is the typical range of AM modulation index (depth)? What will happen if it is at the lowest value or highest value in the range? What will happen if it goes beyond the range? too low a level of modulation and...
A 1 kHz sine wave is sampled at frequency of 5 kHz (d) What if the...
A 1 kHz sine wave is sampled at frequency of 5 kHz (d) What if the original analog signal included both even and odd harmonics of its primary frequency; that is, 2, 3, 5 kHz, etc. What would be the highest harmonic that will be faithfully represented in the discrete-time version of the analog signal? (e) Following on with the previous step, what is the lowest harmonic that will be aliased and what would be resulting alias frequency?
1. Write a MATLAB function to determine the discrete-time Fourier Transform (H(?)) of the following sequence....
1. Write a MATLAB function to determine the discrete-time Fourier Transform (H(?)) of the following sequence. Plot its magnitude and phase. You can use the dtft command and use the abs, angle and plot commands to plot the results. x(n) = {4, 3, 2, 1, 2, 3, 4}. 2. Analytically determine H(z) and plot its magnitude and phase for the following system using freqz. y(n) = 2x(n) + x(n ? 1) ? 0.25y(n ? 1) + 0.25y(n ? 2). 3....
How do I solve both these problems? 1. Charges on the capacitors in three oscillating LC...
How do I solve both these problems? 1. Charges on the capacitors in three oscillating LC circuits vary as follows: (1) q = 2 sin(5t), (2) q =4 sin(3t), (3) q = sin(4t) (with q in coulombs and t in seconds). Rank the circuits according to (a) the current amplitude and (b) the period, greatest first. 2. In an oscillating LC circuit with C = 240 μF, the current is given by , i= 4sin(450t+0.6) where t is in seconds,...
1. Speed of light Calculation (Simple Scientific Notation) Use the formula below to calculate the speed...
1. Speed of light Calculation (Simple Scientific Notation) Use the formula below to calculate the speed of the light C, C = (µ0ε0)-1/2   = 1 /(µ0ε0)1/2   ;   Where ( )1/2   is the square root, µ0 = 4π x 10-7 T. m/A, and ε0 = 8.854 x 10-12 C2/N.m2 . 2. The frequency of the Greenlight is 1015 Hz. Calculate its period T (time), its wavelength, and its energy in Joules and in electron volts, (eV). ) if 1 eV =...
1) How does the amplitude of vibration affect the time period of vibration for a spring-mass...
1) How does the amplitude of vibration affect the time period of vibration for a spring-mass system? a)The period decreases linearly as amplitude increases b)Time period increases as the square root of the amplitude c)No effect d)Time period increases linearly with the amplitude 2)What will be the value of the spring constant, if a mass of 1.1 kg attached to a spring stretches it by 16 cm. Ignore the mass of the spring and its original length. 3)What will be...
Q.N. 1:- In an unguided electromagnetic telecommunications link, acoustic waves are transmitted and received by antennas...
Q.N. 1:- In an unguided electromagnetic telecommunications link, acoustic waves are transmitted and received by antennas operating at radio frequency (RF) frequencies. True False Q.N. 2:- What is the best reason why we view signals in the time and frequency domains? a. the time domain tells us the bandwidth of the information signal, while the frequency domain gives us an idea of how often information is sent b. time domain signals show us the amplitude of the signal over time,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT