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

Basic specifications of a ujt, The very basic specifications of a UJT are: ...

The very basic specifications of a UJT are: Vbb(max) - The maximum interbase voltage that can be applied to the UJT (b) Rbb-the interbase resistance of the UJT (c) n - The

Plug and socket condition -safe conduct, Plug and Socket Condition : In th...

Plug and Socket Condition : In the same way that your knowledge of flexes and fuses is wasted if you don't care to ensure that flexes and cables are routed safely and sensibly, so

Shld store hl pair direct instruction , SHLD Store HL pair Direct Instructi...

SHLD Store HL pair Direct Instruction This  instruction is used to store the contents of HL  register  pair to  memory  address specified  in the  instruction and the  next ad

Explain role/purpose of dummy coils in dc machine winding., Dummy coils : ...

Dummy coils : These coils are used with wave winding and resorted to when the requirement of the winding are not met by the standard armature punching available in armature win

Explain working of inverting summing amplifier, Q. Explain working of Inver...

Q. Explain working of Inverting Summing Amplifier? The circuit of Figure is extended by adding other input points, as shown in Figure. Because of the virtual ground at terminal

Condition return, Condition Return Similar to conditional jump and cal...

Condition Return Similar to conditional jump and call  instructions there are conditional return  instructions  also  based on various  flags.

amplitude modulated waveform, The method by which electrical signals conve...

The method by which electrical signals convey information has been described. Systems components have been selected and interfaced to enable a chosen system to perform a desired o

Determine the nyquist sampling interval - radar system, Consider an S band ...

Consider an S band (3 GHz) radar with a rotating aperture antenna with a width of 3 m.  Suppose the antenna rotates at a rate of one rotation every 10 seconds.  Assume the 3 dB bea

Distributed Control Sytems, 1. Produce a fully-labelled sketch to show the ...

1. Produce a fully-labelled sketch to show the components of a Direct Digital Control system. 2. State the minimum number of printed-circuit cards required to construct a basic co

Explain virtual memory, Explain virtual memory. The term virtual memor...

Explain virtual memory. The term virtual memory considers as to something that appears to be present but in fact it is not. The virtual memory technique permits users to use m

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