Fixed Point queries-1

1. What is fixed point problem?
2. What is fixed point format?
3. How do you find fixed points?
4. What is fixed point DSP?

What is fixed point problem?

A number x satisfying the equation x = g(x) is called a fixed point of the function g because an application of g to x leaves x unchanged. For instance, the function given by x ² for all x has the two fixed points 0 and 1.

What is fixed point format?

In computing, fixed-point is a method of representing fractional (non-integer) numbers by storing a fixed number of digits of their fractional part. Dollar amounts, for example, are often stored with exactly two fractional digits, representing the cents (1/100 of dollar).

How do you find fixed points?

One way to find fixed points is by drawing graphs. There is a standard way of attacking such a problem. Simply graph x and f(x) and notice how often the graphs cross.

What is fixed point DSP?

Fixed-point DSPs are designed to represent and manipulate integers – positive and negative whole numbers – via a minimum of 16 bits, yielding up to 65,536 possible bit patterns (2¹⁶).