The range addressable hyperbolic tangent activation function for second order lattice-ladder neuron in a
fixed-point arithmetic is successfully implemented on xc7z020 FPGA chip.
When discrete-time systems are implemented in finite word length processor using
fixed-point arithmetic, nonlinearities are introduced due to quantization and overflow.
For performance optimization the controller code was implemented using
fixed-point arithmetic.
It employed ordinary base-10
fixed-point arithmetic, according to the museum statement.
Fixed-point arithmetic is often used for the computations because of the cost reasons--floating point calculations significantly increase the size of the design and make it more complex.
Using the 6-dB-per-bit rule, 16-bit recordings are capable of a 96-dB dynamic range, while 24-bit
fixed-point arithmetic improves the dynamic range to 144 dB.
After testing numerous competing products, we found the Filter Design Toolbox provided the best range of
fixed-point arithmetic parameters, filter architectures and operational statistics," said Richard Hewitt, senior DSP and software consultant at Toracomm.
Ada 83 supplied a
fixed-point arithmetic facility that was a close semantic match for the requirements of exact decimal computation.
The codec using 10 bit constants is lossy because of
fixed-point arithmetic.
Engineers can use these blocks to quickly create PID controllers, select PID structure, include integrator anti-windup logic, convert from continuous-time to discrete-time domain, and prepare the controller for implementation on a processor using
fixed-point arithmetic.
The company is also presenting a paper titled, "Exploration of Least-Squares Solutions of Linear Systems of Equations with
Fixed-Point Arithmetic," on Monday November 14th, at 2:00 p.
Until now, performing matrix factorization and inversion in hardware has been difficult because the algorithms are complex and highly sensitive to numerical problems, particularly when using
fixed-point arithmetic preferred in high-performance ICs.
