Vendor: Zipcores Electronic Systems Engineering S.L. Category: Arithmetic Units

16-bit Cosine Function

COS_X calculates the cosine of an angle in radians.

Overview

COS_X calculates the cosine of an angle in radians. It has a fully pipelined architecture and uses fixed-point mathematics throughout. Input values are accepted as 16-bit unsigned values in the range 0 to π/2. Output values are 16-bit unsigned values in the range 0 to 1. For input values greater than π/2, the output clips to 0. Both input and output values are in [16 15] format with 1 integer bit and 15 fraction bits. As an example the input value 0xC000 would signify the value 1.5.

Internally, the function uses a 2nd order polynomial of the form:

y = ax2 + bx + c

The coefficients a, b and c dynamically change with respect to the input value in order to generate a more accurate approximation. The output result is accurate to within 0.0002.

Values are sampled on the rising clock-edge of clk when en is high. The function has a 3 clock-cycle latency.

Key features

  • Synthesizable, technology independent VHDL Core
  • Function y = cos(x)
  • Input range 0 ≤ x ≤ π /2 (Quarter wave)
  • Output range 0 ≤ y ≤ 1
  • Based on a quadratic polynomial with dynamic coefficients
  • Input values as 16-bit unsigned fractions
  • Output values as 16-bit unsigned fractions in radians
  • Accurate to within 0.0002
  • High-speed fully pipelined architecture
  • 3 clock-cycle latency

Block Diagram

Applications

  • Fixed-point mathematics
  • Quadrature signal generation in digital communications
  • Alternative to using a 65536 x 16-bit LUT (128kbytes)

Specifications

Identity

Part Number
COS_X
Vendor
Zipcores Electronic Systems Engineering S.L.
Type
Silicon IP

Files

Note: some files may require an NDA depending on provider policy.

Provider

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Frequently asked questions about Arithmetic Unit IP cores

What is 16-bit Cosine Function?

16-bit Cosine Function is a Arithmetic Units IP core from Zipcores Electronic Systems Engineering S.L. listed on Semi IP Hub.

How should engineers evaluate this Arithmetic Units?

Engineers should review the overview, key features, supported foundries and nodes, maturity, deliverables, and provider information before shortlisting this Arithmetic Units IP.

Can this semiconductor IP be compared with similar products?

Yes. Buyers can compare this product with similar semiconductor IP cores or IP families based on category, provider, process options, and structured technical specifications.

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