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

Sod output - serial input output ports , SOD Output Serial output data ...

SOD Output Serial output data  single  bit can be sent  out through this pin using SIM  command  discussed in details in chapter8.

Time constant at decay of current, Time constant at decay of current In...

Time constant at decay of current In decay of current by an inductor, a method to find values of time constant similar as in rise of current through an inductor. The difference

Lead acid battery, Describe the construction of lead acid battery

Describe the construction of lead acid battery

Current flow through each resistor using mesh analysis, Find the current fl...

Find the current flow through each resistor using mesh analysis for the circuit below. Step : Determine the number of common nodes and reference node within the network

Calculate generated emf, Q.  A shunt generator gives full load output of 3...

Q.  A shunt generator gives full load output of 30 kW at a terminal voltage of 200V. The armature and field resistance are 0.05? and 50? resp.. The iron and friction losses are 10

Solving electrical circuits, i need help solving an electrical circuit, usi...

i need help solving an electrical circuit, using kirchoffs laws, it a diamond shape with one voltage source

Embedded system, 10. List the three ways in which an RTOS handles ISRs in a...

10. List the three ways in which an RTOS handles ISRs in a multitasking environment

Discuss macro assembler directive, Discuss MACRO assembler directive wi...

Discuss MACRO assembler directive with example. MACRO: A sequence of instructions to that has a name is assigned is termed as macro. Macros and subroutines are the

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