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 f_q(t). The difference between fq(t) and f (t) is known as the quantization error ε_q(t),

ε_q (t) = f_q (t) - f(t)

Theoretically, f_q(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) ε_q(t) present. For a small δv with a large number of levels, it can be shown that the mean-squared value of ε_q(t) is given by

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

where S₀ and N_q 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

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

Posted Date: 7/1/2013 12:38:58 AM | Location : United States

Ask an Expert

Related Discussions:- Show quantization error, Assignment Help, Ask Question on Show quantization error, Get Answer, Expert's Help, Show quantization error Discussions

Write discussion on Show quantization error
Your posts are moderated

Write your message here..

Related Questions

Use ideal op-amp technique to find voltage at point, Q. In the circuit show... Q. In the circuit shown in Figure, use the ideal op-amp technique to find: (a) v o as a function of v i . (b) The voltage at A.

Operations on vectors, Can add vectors using the parallelogram rule Can ... Can add vectors using the parallelogram rule Can multiply a vector by a scalar            - result is a parallel vector                        • length is scaled

Power system, recent trends in power system recent trends in power system

Compute the transmission loss, Q. A signal with bandwidth of 100 MHz is to ... Q. A signal with bandwidth of 100 MHz is to be transmitted 40 km by LOS radio transmission. Taking B/fc = 1/30, and using a circular-aperture parabolic dish with 50-cm radius at ea

engine-based combined heat and power, In this assignment, you will investi... In this assignment, you will investigate the low-carbon technology that would be most suitable to provide heat and power for a domestic building. • Using information try to iden

Find the charge flowing and the number of electrons, Q. A current i(t) = 20... Q. A current i(t) = 20 cos(2π × 60)t A fows through a wire. Find the charge flowing, and the number of electrons per second that are passing some point in the wire.

Electronic Devices, To demonstrate a practical method of testing semiconduc... To demonstrate a practical method of testing semiconductor diodes.

Negative voltage regulator series, Negative Voltage Regulator series with N... Negative Voltage Regulator series with Nine voltage options - IC 7900 Series The IC 7900 series of fixed output negative voltage regulators are complements to the 7800 seri

Show n-channel depletion mode mosfet, Q. For a transistor, when v GS = -2.... Q. For a transistor, when v GS = -2.0 V, find V DSsat if Vp= -4.0 V for an n-channel depletion mode MOSFET. Solution: V p = -(V DSsat + v SG ) but  v SG = -v GS = -(-

Explain about frequency shift keying, Q. Explain about Frequency Shift Keyi... Q. Explain about Frequency Shift Keying? In this scheme frequency of the carrier signal is changed according to the data. Transmitter sends different frequencies for a "I" than