A scalar quantizer in which all intervals have the same length is called a uniform scalar quantizer. The following sections will show that uniform scalar quantizers have remarkable properties for high-rate …

ALLEN GERSHO, MEMBER, IEEE Abstract-Quantization is the process of replacing analog sam- ples with approximate values taken from a fi. te set of allowed values. The approximate values …

We wish to design a 16-bit scalar quantizer. Since the pdf of is piecewise uniform (i.e. uniform over two intervals: [ 1, 0] and [0, 1]) it seems reasonable to construct the quan-tizer as two separate ones, one …

Lloyd-Max scalar quantizer Problem : For a signal x with given PDF f ( x ) find a quantizer with X M representative levels such that MSE E X X ˆ min.

Simplification: Let quantization levels be the midpoints of the quantization regions (except first and last regions, when input is not finite valued). Also, let the middle region boundary be at zero. This is the …

For the following sequence {1.2,-0.2,-0.5,0.4,0.89,1.3...}, Quantize it using a mu-law quantizer in the range of (-1.5,1.5) with 4 levels, and write the quantized sequence.

The quantizer just described is memoryless, i.e., the quantization level for a pixel is computed independently that for any other pixel. The schematic of a memoryless quantizer is shown below. As …