Show quantization error, Electrical Engineering

Assignment Help:

Quantization Error

Sampling followed by quantization is equivalent to quantization followed by sampling. Figure illustrates a message signal f (t) and its quantized version denoted by fq(t). The difference between fq(t) and f (t) is known as the quantization error εq(t),

εq (t) = fq (t) - f(t)

Theoretically, fq(t) can be recovered in the receiver without error. The recovery of fq(t) can be viewed as the recovery of f (t) with an error (or noise) εq(t) present. For a small δv with a large number of levels, it can be shown that the mean-squared value of εq(t) is given by

1894_Show Quantization Error.png


When a digital communication system transmits an analog signal processed by a uniform quantizer, the best SNR that can be attained is given by

2359_Show Quantization Error1.png

where S0 and Nq represent the average powers in f (t) and εq(t), respectively. When f (t) fluctuates symmetrically between equal magnitude extremes, i.e., -|f(t)|max ≤ f(t) ≤ |f(t)|max, choosing a sufficiently large number of levels L, the step size δv comes out as

843_Show Quantization Error2.png

It can be seen that messages with large crest factors will lead to poor performance.

1811_Show Quantization Error3.png


Related Discussions:- Show quantization error

Show crystal - oscillator circuits, Q. Show Crystal - Oscillator Circuits? ...

Q. Show Crystal - Oscillator Circuits? The simplest crystal-oscillator circuit is shown in Fig. 6-2A. An equivalent circuit is shown in Fig. 6-2B., where C4 represents the grid

Numerical analysis curve fitting, Ask question #Minimum 100 wThe voltage v...

Ask question #Minimum 100 wThe voltage v across a capacitor at time t seconds is given by the following table. Use the principle of least squares to fit a curve of the form v = ae

What are the modes of operations used in 8253, What are the modes of operat...

What are the modes of operations used in 8253? Each of the three counters of 8253 can be operated in one of the following six modes of operation. 1. Mode 0 (Interrupt on ter

Hexadecimal number system, Hexadecimal Number System Similar  to octal ...

Hexadecimal Number System Similar  to octal number hexadecimal number system is also used to represent long  binary  numbers in  smaller  form. In microprocessor  we use  hexad

Show the frequency response of rc coupled amplifier, Q. Show the Frequency ...

Q. Show the Frequency response of Rc Coupled Amplifier? 1. At low frequency i.e,less than 50 Hz reactance of Cc is going high hence same part of the signal will pass from one s

Compute the primary current and the braking torque, A three-phase, wye-conn...

A three-phase, wye-connected, 400-V, four-pole, 60-Hz induction motor has primary leakage mpedance of 1 + j2  and secondary leakage mpedance referred to the primary at standstill

Describe abrasive grit size, Describe the effect of following parameters. ...

Describe the effect of following parameters. Abrasive grit size. Amplitude and frequency of vibration.

Working of hartley oscillator, Working of Hartley oscillator : When the...

Working of Hartley oscillator : When the collector supply voltage Vcc is switched on, the capictor gets charged. The capacitor discharges through the inductor, setting up oscil

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