Filtering and Convolution:
Finite Impulse Response (FIR)
Infinite Impulse Response (IIR)
Median filtering
Cyclic convolution
Auto/Cross-correlation

Transforms:
Fourier (FFT, DFT, Goertzel)
Discrete Cosine Transforms (DCT)
Hilbert Transforms
Wavelet Transforms (fixed/custom filters)
Power spectrum calculation

Windowing/Sampling:
Upsampling/Downsampling
Windowing (Bartlett/Blackman/Hamming/Hann/Kaiser)

Array/Signal Initialization/Manipulation:
Move/Copy/Set/Zero
Tone/Triangle/Ramp/Jaehne Generation
Random vector generation (Uniform/Gaussian)
Array allocation
Real/Complex conversion
Polar/Cartesian conversion

Array/Signal statistics:
Sum/Max/Min/Mean/StdDev/Norm
Dot products
Thresholding
Viterbi decoding

Array Arithmetic/Logic Operations:
Arithmetic operations (add/sub/mul/div/sqrt/sqr/ln/exp/abs)
Logical operations (AND, OR, XOR, Shift, NOT)
Array sorting
Magnitude/Phase