range

Numerical range of fi or quantizer object

Syntax

range(a)
[min_val, max_val]= range(a)
r = range(q)
[min_val, max_val] = range(q)


Description

range(a) returns a fi object with the minimum and maximum possible values of fi object a. All possible quantized real-world values of a are in the range returned. If a is a complex number, then all possible values of real(a) and imag(a) are in the range returned.

[min_val, max_val]= range(a) returns the minimum and maximum values of fi object a in separate output variables.

r = range(q) returns the two-element row vector r = [a b] such that for all real x, y = quantize(q,x) returns y in the range a ≤ y ≤ b.

[min_val, max_val] = range(q) returns the minimum and maximum values of the range in separate output variables.

Examples

q = quantizer('float',[6 3]);
r = range(q)

r =

   -14    14

q = quantizer('fixed',[4 2],'floor');
[min_val,max_val] = range(q)

min_val =

    -2


max_val =

                      1.75

Algorithms

If q is a floating-point quantizer object, a = -realmax(q), b = realmax(q).

If q is a signed fixed-point quantizer object (datamode = 'fixed'),

$$a=-\mathrm{realmax}(q)-\mathrm{eps}(q)=\frac{-2^{w-1}}{2^f}$$

$$b=\mathrm{realmax}(q)=\frac{2^{w-1}-1}{2^f}$$

If q is an unsigned fixed-point quantizer object (datamode = 'ufixed'),

$$a=0$$

$$b=\mathrm{realmax}(q)=\frac{2^w-1}{2^f}$$

See realmax for more information.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

HDL Code Generation
Generate Verilog and VHDL code for FPGA and ASIC designs using HDL Coder™.