Spectral analysis and signal bandwidth, Electrical Engineering

Assignment Help:

Q. Show Spectral Analysis and Signal Bandwidth?

Spectral analysis is based on the fact that a sinusoidal waveform is completely characterized by three quantities: amplitude, phase, and frequency. By plotting amplitude and phase as a function of frequency f(= ω/2π = 1/T), the frequency-domain picture conveys all the information, including the signal's bandwidth and other significant properties about the signal that consists entirely of sinusoids. The two plots together (amplitude versus frequency and phase versus frequency) constitute the line spectrum of the signal x(t).

If x(t) happens to be a periodic signal whose Fourier coefficients are known, Equation can be rewritten as

2447_Spectral Analysis and Signal Bandwidth.png

The phase angles are referenced to the cosine function, in agreement with our phasor notation. The corresponding phasor diagram of Fourier coefficients is shown in Figure. Equation reveals that the spectrum of a periodic signal contains lines at frequencies of 0, f,2f, and all higher harmonics of f, although some harmonics may be missing in particular cases. The zero-frequency or dc component represents the average value a0, the components corresponding to the first few harmonics represent relatively slow time variations, and the higher harmonics represent more rapid time variations.

2426_Spectral Analysis and Signal Bandwidth1.png


Related Discussions:- Spectral analysis and signal bandwidth

Customer satisfaction - issues of power supply, Customer Satisfaction - Iss...

Customer Satisfaction - Issues of Power Supply Customer satisfaction measurement is a systematic process for collecting customer data (e.g. surveys, audits and etc.), analyzin

List the uses of usart, List the uses of USART. USART- Universal Synch...

List the uses of USART. USART- Universal Synchronous Asynchronous Receiver-Transmitters. It is used to transmit and receive the data in serial communication mode. It is

Calculate the voltage across the capacitor, In the circuit above, V1 is a d...

In the circuit above, V1 is a dc supply which outputs 12V, R1 has a value of 100 Ω and C1 is 100µF. The switch has been left in the position shown for a long time such that there i

Explain ramp type dvm, SOL. Ramp Type VM: The operating principle of the r...

SOL. Ramp Type VM: The operating principle of the ramp type DVM is based on the measurement of the time it takes for a linear ramp voltage to rise from 0 V to the level of the inp

Fourier deries, how to compute the fourier series expansion of a rectangula...

how to compute the fourier series expansion of a rectangular pulse train

Newtons law of gravitation, Particles of mass M and m separated in space by...

Particles of mass M and m separated in space by a distance R exert a mutually attractive gravitational force F on one another given by where G is the universal gravitationa

Priming, short note on priming

short note on priming

Physical operation of the junction of diode, Q. Physical operation of the j...

Q. Physical operation of the junction of diode? The physical operation of the junction can be described in terms of the charge-flow processes. Usually there is a greater concen

Direct and indirect semiconductors, Direct and Indirect Semiconductors ...

Direct and Indirect Semiconductors 1) In a common quantitative calculation of band structures, the wave function of a single electron traveling by a perfectly periodic lattice

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd