GDD310

GDD310 Floating Point DSP Vector Library for TMS320C672x C67+ CPU core.

The library is a set of over 100 functions and macros that perform commonly used DSP operations like Fast Fourier Transform, Fast Hartley Transform, Discrete Cosine Transform, FIR/IIR filters, coordinate transformations, vector operations, complex number arithmetic operations, pseudo-random numbers generation, data conditioning (spectral windows) operations. These operations are performed on the IEEE-754 floating point format numbers. There is also a set of functions to convert floating point data to/from integer and Q15 fixed point formats.

The library implements full BLAS (Basic Linear Algebra Subroutines) Level 1 standard.

The library is supported for use in any development environment using TI Code Generation Tools for the TMS320C67x DSP.

The library's functions have been optimized algorithmically at the assembly level to fully utilize advantages of TMS320C67x parallel architecture, floating point arithmetic and pipeline. All functions are hand-coded in assembly to obtain maximum possible performance on the TMS320C67x floating-point DSP. To facilitate real-time asynchronous events processing support the library functions are fully interruptible.

The library can be used in various application areas such as DSP, audio/video processing, linear algebra, engineering, control, robotics, military and consuming. The user's manual gives the details on using library functions.

Functions

1. TRANSFORMS
   1. Initialize Complex FFT twiddle factor table
   2. Complex Forward FFT
   3. Complex Inverse FFT
   4. Complex Forward/Inverse FFT (driver)
   5. Initialize Real FFT twiddle factor table
   6. Real Forward FFT
   7. Real Inverse FFT
   8. Initialize FHT twiddle factor table
   9. Forward/Inverse; Fast Hartley Transform(FHT)
   10. Convert FHT to real FFT
   11. Convert real FFt to FHT
   12. Initialize Complex CT twiddle factor table
   13. Real Forward Cosine Transform
   14. Real Inverse Cosine Transform
2. DSP FUNCTIONS
   1. Linear auto-covariation (autocorrelation) function
   2. Linear cross-covariation (crosscorrelation) function
   3. General Form Difference Equation (IIR Filter)
   4. Difference Equation with two zeroes and two poles (IIR Filter)
   5. Linear convolution
   6. FIR filter (macro)
   7. Decimation and FIR filter
   8. Convert to dB (power/voltage units)
   9. Histogram Accumulation
   10. Auto-Spectrum Accumulation
   11. Cross-Spectrum Accumulation
   12. Coherence Function
   13. Transfer Function
   14. Exponential Averaging
   15. Linear Averaging
   16. Hamming window
   17. Blackman window
   18. Bartlett window
   19. Parzen window
   20. Welch window
3. VECTOR OPERATIONS (REAL data)
   1. Index of a vector entry with maximum magnitude
   2. Index of a vector entry with minimum magnitude
   3. Index of the maximum vector element
   4. Index of the minimum vector element
   5. Sum of absolute values of vector elements
   6. Sum of vector elements
   7. L2 (Euclidean) Norm of a vector
   8. Copy vector to a vector
   9. Fill a vector with a constant
   10. Dot (inner) product
   11. Swap two vectors
   12. Scale a vector, add to another vector (macro)
   13. Scale a vector, add to another vector, store to an output vector
   14. Add a constant to a vector (macro)
   15. Add a constant to a vector, store to an output vector
   16. Scale a vector (macro)
   17. Scale a vector, store to an output vector
   18. Add entries of two vectors (macro)
   19. Add entries of two vectors, store to an output vector
   20. Subtract entries of two vectors (macro)
   21. Subtract entries of two vectors, store to an output vector
   22. Multiply entries of two vectors (macro)
   23. Multiply entries of two vectors, store to an output vector
   24. Divide entries of two vectors (macro)
   25. Divide entries of two vectors, store to an output vector
   26. Construct Givens plane rotations
   27. Apply Givens plane rotations (macro)
   28. Apply Givens plane rotations, different input/output vectors
4. VECTOR OPERATIONS (COMPLEX data)
   1. Index of a vector entry with maximum magnitude
   2. Index of a vector entry with minimum magnitude
   3. Sum of absolute values of vector elements
   4. Sum of vector elements
   5. L2 (Euclidean) Norm of a vector
   6. Copy vector to a vector
   7. Fill a vector with a constant
   8. Dot (inner) product, conjugate first vector
   9. Dot (inner) product
   10. Swap two vectors
   11. Scale a vector, add to another vector (macro)
   12. Scale a vector, add to another vector, store to an output vector
   13. Scale a conjugated vector, add to another vector (macro)
   14. Scale a conjugated vector, add to another vector, store to an output vector
   15. Add a constant to a vector (macro)
   16. Add a constant to a vector, store to an output vector
   17. Scale a vector (macro)
   18. Scale a vector, store to an output vector
   19. Scale a vector by a real scalar (macro)
   20. Scale a vector by a real scalar, store to an output vector
   21. Add entries of two vectors (macro)
   22. Add entries of two vectors, store to an output vector
   23. Subtract entries of two vectors (macro)
   24. Subtract entries of two vectors, store to an output vector
   25. Multiply entries of two vectors (macro)
   26. Multiply entries of two vectors, store to an output vector
   27. Divide entries of two vectors (macro)
   28. Divide entries of two vectors, store to an output vector
   29. Construct Givens plane rotations
   30. Apply Givens plane rotations (macro)
   31. Apply Givens plane rotations, different input/output vectors
5. DATA CONVERSIONS
   1. Rectangular to polar coordinate transform
   2. Polar to rectangular coordinate transform
   3. Combine two real arrays into a complex array
   4. Split a complex array into two real arrays
   5. Convert a Q15 array into a real array
   6. Convert a real array into a Q15 array
   7. Convert a 32-bit integer array into a real array
   8. Convert a real array into a 32-bit integer array
6. SCALAR OPERATIONS
   1. Compute bit-reversed number of 16 bit short integer
   2. Compute bit-reversed number of 32 bit integer
   3. Square root of sum of squares
   4. Sum of magnitudes of real and imaginary parts of a complex number
   5. Magnitude of a complex number
   6. Conjugate of a complex number
   7. Square root of a complex number
   8. Complex sign transfer
   9. Add two complex numbers
   10. Add two complex numbers, conjugate first number
   11. Add two complex numbers, conjugate second number
   12. Multiply two complex numbers
   13. Multiply two complex numbers, conjugate first number>
   14. Multiply two complex numbers, conjugate second number
   15. Multiply two complex numbers, add a complex number
   16. Multiply two complex numbers, add a complex number, conjugate second number
   17. Multiply two complex numbers, add a complex number, conjugate third number
   18. Divide two complex numbers
   19. Divide two complex numbers, conjugate first number
   20. Divide two complex numbers, conjugate second number
   21. Subtract two complex number
   22. Subtract two complex numbers, conjugate first number
   23. Subtract two complex numbers, conjugate second number
   24. Base e (natural) logarithm of a complex number
   25. Base e exponential function of a complex number
   26. Cosine of a complex number
   27. Sine of a complex number
   28. Complex number raised to an integer power
   29. Complex number raised to a complex number power
7. MISCELLANEOUS
   1. In-place bit-reverse permutation of a real array
   2. In-place bit-reverse permutation of a complex array
   3. Bit-reversed copy of a real array
   4. Bit-reversed copy of a complex array
   5. Conjugated copy of a complex array
   6. Negated copy of a real array
   7. Negated copy of a complex array
   8. Magnitudes of entries of a complex array
   9. Reciprocal entries of a real array
   10. Parameters of machine real arithmetic
   11. Parameters of machine complex arithmetic
   12. Set (restore) state of the random generator
   13. Get (save) state of the random generator
   14. Get maximum integer random number (macro)
   15. Integer Uniform Random Number Generator
   16. Fill a vector with random numbers on (a,b)
   17. Floating Point (0,1) Uniform Random Number Generator (macro)
   18. Floating Point (a,b) Uniform Random Number Generator (macro)