I started this project to train myself on the rust programming language. This library provides tools for signal processing and analysis. It is composed by four classes:

TimeSeries

The TimeSeries object describes time series data, which consists in time indexed vector.

Attributes

• fs: sampling frequency
• t0: time of the first sample
• data: data vector

Methods

Constructor methods

• white_noise: generates a white noise signal with a given amplitude
• constant: generates a constant signal at a given value
• wave: generates a sinusoidal signal withe the given frequency, amplitude and phase at t0
• from_vector: transform a data vector into a TimeSeries object

Methods for spectral analysis.

These methods create a FrequencySeries object.

• csd: cross spectral density
• psd: power spectral density
• asd: amplitude spectral density
• tf: transfer function
• cohe: coherence

Getter methods

• get_fs: get sampling frequency
• get_t0: get start time
• get_size: get data vector size
• get_data: get data vector

Math methods

• abs: computes modulus of the data
• sqrt: computes the square root of the data
• inv: computes the inverse of the data

Operator overloading

• (+) add
• (-) subtract
• (*) multiply
• (/) divide
• ([]) index

Others

• apply_filter: apply the Filter object to the time series

• print: print the chosen elements (debug function)

• write: wrte time and data vectors into an ascii file

FrequencySeries

The FrequencySeries object describes the frequency indexed data. The vector contains complex data type.

Attributes

• f_max: sampling frequency
• data: data vector

Methods

Constructor methods

• from_vector: transform a data vector into a FrequencySeries object.

Getter methods

• get_f_max: get maximum frequency
• get_size: get data vector size
• get_data: get data vector

Math methods

• re: computes real part of the data
• im: computes imaginary part of the data
• abs: computes modulus of the data
• abs2: computes the square modulus of the data
• conj: computes the complex conjugates of the data
• sqrt: computes the square root of the data
• inv: computes the inverse of the data

Operator overloading

• (+) add
• (-) subtract
• (*) multiply
• (/) divide
• ([]) index

Others

• print: print the chosen elements (debug function)

• write: wrte time and data vectors into an ascii file

Window

Attributes

• overlap: number of samples two successives windows overlap over
• vector: window vector

Methods

Constructors

• rectangle
• hann

Other

• nb_fft: computes the number of windows

• get_size: return window size

• get_windowed_data: compute the window data

• get_norm_factor; computes the integral of the squared window

Filter

Attributes

• gain: gain of the filter
• poles: pole frequencies list
• zeros: zero frequencies list
• fs: sampling frequency

Methods

filter application methods

• bilinear_transform
• adapt_frequencies
• polezero_to_coef

Generic filter constructor

• butterworth
• chebyshev_type1
• chebyshev_type2

Custom filter contructor

• init_filter
• gain_factor
• add_pole_1
• add_pole_2
• add_zero_1
• add_zero_2
• add_integrator
• add_derivator

getter function

• get_poles
• get_zeros
• get_gain
• get_fs

Other

• frequency_response