General examples¶

General-purpose and introductory examples for PyTFTB

../_images/sphx_glr_plot_4_2_3_impulse_wv_thumb.png

Wigner-Ville Distribution of a Dirac Impulse Function

../_images/sphx_glr_plot_4_2_2_bertrand_hyperbolic_gd_thumb.png

Bertrand Distribution of a Hyperbolic Group Delay Signal

../_images/sphx_glr_plot_4_1_1_wv_wireframe_thumb.png

Wigner-Ville distribution of a Chirp

../_images/sphx_glr_plot_4_2_2_unterberger_hyperbolic_gd_thumb.png

Unterberger distribution of a hyperbolic group delay signal

../_images/sphx_glr_plot_4_2_2_dflandrin_hyperbolic_gd_thumb.png

D-Flandrin Distribution of a Hyperbolic Group Delay Signal

../_images/sphx_glr_plot_4_1_2_sin_gauss_wv_thumb.png

Wigner Ville distribution of a Gaussian Atom and a Complex Sinusoid

../_images/sphx_glr_plot_5_4_2_wv_noisy_chirp_thumb.png

Wigner-Ville Distribution of a Noisy Chirp

../_images/sphx_glr_plot_5_4_2_wv_simultaneous_chirp_thumb.png

Wigner Ville Distribution of Two Simultaneous Chirps

../_images/sphx_glr_plot_4_1_1_doppler_wigner_ville_thumb.png

Wigner-Ville Distribution of a Doppler Signal

../_images/sphx_glr_plot_4_1_1_wv_analytic_signal_thumb.png

Wigner Ville Distribution of Analytic Gaussian Atoms

../_images/sphx_glr_plot_4_1_1_wv_real_signal_thumb.png

Sampling Effects on the Wigner-Ville Distribution of a Real Valued Gaussian Atom

../_images/sphx_glr_plot_2_6_monocomp_nonstat_doppler_thumb.png

../_images/sphx_glr_plot_2_6_monocomp_nonstat_linfreq_gaussamp_thumb.png

Linear Frequency and Gaussian Amplitude Modulation

../_images/sphx_glr_plot_4_1_2_sin_gauss_pwv_thumb.png

Pseudo-Wigner-Ville Distribution of a Gaussian Atom and a Complex Sinusoid

../_images/sphx_glr_plot_1_3_1_chirp_wv_thumb.png

Wigner-Ville Distribution of a Chirp

../_images/sphx_glr_plot_2_3_instantaneous_frequency_thumb.png

Estimate the Instantaneous Freuqncy of a Chirp

../_images/sphx_glr_plot_3_1_4_frequency_resolution_thumb.png

Time-frequency Resolution: Long Analysis Window

../_images/sphx_glr_plot_1_3_1_chirp_thumb.png

Linear Frequency Modulation

../_images/sphx_glr_plot_4_1_4_margenau_hill_thumb.png

Margenau-Hill Representation of Chirps with Different Slopes

../_images/sphx_glr_plot_4_1_1_wv_atoms_thumb.png

Wigner-Ville Distribution of Gaussian Atoms

../_images/sphx_glr_plot_3_1_4_time_resolution_thumb.png

Ideal time resolution

../_images/sphx_glr_plot_3_4_1_distant_components_long_gaussian_thumb.png

Distant Chirps with a Long Gaussian Analysis Window

../_images/sphx_glr_plot_3_4_1_chirps_spectrogram_short_gaussian_thumb.png

Spectrogram of Parallel Chirps with Short Gaussian Analysis Window

../_images/sphx_glr_plot_3_4_1_chirps_spectrogram_long_gaussian_thumb.png

Spectrogram of Parallel Chirps with a Long Gaussian Analysis Window

../_images/sphx_glr_plot_3_4_1_distant_components_short_gaussian_thumb.png

Distant Chirps with a Short Gaussian Analysis Window

../_images/sphx_glr_plot_4_1_3_chirps_wvd_thumb.png

Wigner-Ville Distribution of Chirps with Different Slopes

../_images/sphx_glr_plot_4_2_3_wideband_ambiguity_thumb.png

Wideband Ambiguity Function of an Altes Signal

../_images/sphx_glr_plot_2_6_monocomp_nonstat_constfreq_expamp_thumb.png

Monocomponent Nonstationary Signal with Constant Frequency Modulation and One-Sided Exponential Amplitude Modulation

../_images/sphx_glr_plot_2_4_group_delay_thumb.png

Group Delay Estimation of a Chirp

../_images/sphx_glr_plot_4_1_1_pwv_atoms_thumb.png

Pseudo Wigner-Ville Distribution of Gaussian Atoms

../_images/sphx_glr_plot_1_3_1_noisy_chirp_wv_thumb.png

Wigner-Ville Distribution of a Noisy Chirp

../_images/sphx_glr_plot_1_3_1_noisy_chirp_thumb.png

Generating a Noisy Chirp

../_images/sphx_glr_plot_3_3_2_biorthonormal_window_thumb.png

Biorthonormal Window Function

../_images/sphx_glr_plot_3_1_4_atoms_hamming_stft_thumb.png

STFT of Gaussian Wave Packets with a Hamming Analysis Window

../_images/sphx_glr_plot_2_6_monocomp_nonstat_colored_gaussian_noise_thumb.png

Noisy Monocomponent Chirp

../_images/sphx_glr_plot_3_1_4_atoms_short_hamming_stft_thumb.png

Time-frequency Resolution: Short Analysis Window

../_images/sphx_glr_plot_1_3_1_chirp_spectrum_thumb.png

Energy Spectral Density of a Chirp

../_images/sphx_glr_plot_4_1_3_chirps_ambifunb_thumb.png

Narrow Band Ambiguity Function of Chirps with Different Slopes

../_images/sphx_glr_plot_3_1_2_stft_thumb.png

STFT of an Audio Signal

../_images/sphx_glr_plot_1_3_3_transient_spectrogram_thumb.png

Spectrogram of a Noisy Transient Signal

../_images/sphx_glr_plot_3_4_2_morlet_scalogram_dirac_impulse_thumb.png

Morlet Scalogram of a Dirac Impulse

../_images/sphx_glr_plot_3_3_2_biorthonormal_window_gabor_thumb.png

Gabor Representation of a Chirp

../_images/sphx_glr_plot_1_3_1_noisy_chirp_spectrum_thumb.png

Energy Spectrum of a Noisy Chirp

../_images/sphx_glr_plot_5_4_2_hough_noisy_chirp_thumb.png

Wigner-Hough Transform of a Chirp

../_images/sphx_glr_plot_5_4_2_hough_simultaneous_chirp_thumb.png

Hough-Wigner Transform of Two Simultaneous Chirps

../_images/sphx_glr_plot_3_3_2_biorthonormal_window_oversampled_thumb.png

Gabor Representation of a Chirp with Oversampling

../_images/sphx_glr_plot_3_1_2_spectrum_thumb.png

Energy Spectrum of an Audio Signal

../_images/sphx_glr_plot_4_3_6_friedman_instfreq_density_thumb.png

Friedman’s Instantaneous Frequency Density Calculation

../_images/sphx_glr_plot_2_2_1_time_freq_localization_thumb.png

Time and Frequency Localization Characteristics

../_images/sphx_glr_plot_2_7_multicomp_nonstat_instfreq_grpdlay_thumb.png

Instantatneous Frequency and Group Delay Estimation of a Multi-Component Nonstationary Signal

../_images/sphx_glr_plot_2_2_2_heisenberg_gabor_inequality_thumb.png

Heisenbeg-Gabor Inequality

../_images/sphx_glr_plot_1_3_3_transient_thumb.png

Spectrum of a Noisy Transient Signal

../_images/sphx_glr_plot_4_3_2_reassigned_spectrogram_thumb.png

Comparison of a Spectrogram and a Reassigned Spectrogram

../_images/sphx_glr_plot_2_4_grp_delay_inst_freq_comprison_thumb.png

Comparison of Instantaneous Frequency and Group Delay

../_images/sphx_glr_plot_4_2_2_morlet_scalogram_atoms_thumb.png

Morlet Scalogram of Gaussian Atoms

../_images/sphx_glr_plot_3_4_2_morlet_scalogram_complex_sinusoids_thumb.png

Morlet Scalogram of a Multicomponent Signal

../_images/sphx_glr_plot_2_7_multicomp_nonstat_stft_thumb.png

Short time Fourier transform of a multi-component nonstationary signal

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