PINE LIBRARY
FunctionDiscreteCosineTransform
Library "FunctionDiscreteCosineTransform"
Discrete Cosine Transform (DCT)
The Discrete Cosine Transform (DCT) is a mathematical algorithm that converts a series of samples of a signal, typically in the time domain, into another domain called the frequency or spectral domain. It's commonly used for data compression and image/video coding applications such as JPEG and MPEG standards.
The DCT works by multiplying the input sequence with specific cosine functions that are pre-defined and then summing up these products to obtain a new series of values, which represent the frequency components of the original signal. The main advantage of the DCT over other transforms like Fourier Transform is its ability to handle non-stationary signals (i.e., signals with varying statistical properties) more effectively due to its localized basis functions.
In simple terms, the DCT can be thought of as a way to break down an image or video into different frequency components and then compress them without losing too much information. This compression technique is essential for efficient transmission and storage of digital media files over the internet or on devices with limited memory capacity.
~Mixtral4x7b
___
Reference:
lcamtuf.substack.com/p/not-so-fast-mr-fourier
dct(data, len)
Discrete Cosine Transform.
Parameters:
data (array<float>): Data source.
len (int): Length of the sampling window.
Returns: List with frequency domain transformed information.
dct(data, len)
Discrete Cosine Transform.
Parameters:
data (float): Data source.
len (int): Length of the sampling window.
Returns: List with frequency domain transformed information.
idct(data, len)
Inverse Discrete Cosine Transform.
Parameters:
data (array<float>): Data source.
len (int): Length of the sampling window.
Returns: List with time domain transformed information.
idct(data, len)
Inverse Discrete Cosine Transform.
Parameters:
data (float): Data source.
len (int): Length of the sampling window.
Returns: List with time domain transformed information.
Discrete Cosine Transform (DCT)
The Discrete Cosine Transform (DCT) is a mathematical algorithm that converts a series of samples of a signal, typically in the time domain, into another domain called the frequency or spectral domain. It's commonly used for data compression and image/video coding applications such as JPEG and MPEG standards.
The DCT works by multiplying the input sequence with specific cosine functions that are pre-defined and then summing up these products to obtain a new series of values, which represent the frequency components of the original signal. The main advantage of the DCT over other transforms like Fourier Transform is its ability to handle non-stationary signals (i.e., signals with varying statistical properties) more effectively due to its localized basis functions.
In simple terms, the DCT can be thought of as a way to break down an image or video into different frequency components and then compress them without losing too much information. This compression technique is essential for efficient transmission and storage of digital media files over the internet or on devices with limited memory capacity.
~Mixtral4x7b
___
Reference:
lcamtuf.substack.com/p/not-so-fast-mr-fourier
dct(data, len)
Discrete Cosine Transform.
Parameters:
data (array<float>): Data source.
len (int): Length of the sampling window.
Returns: List with frequency domain transformed information.
dct(data, len)
Discrete Cosine Transform.
Parameters:
data (float): Data source.
len (int): Length of the sampling window.
Returns: List with frequency domain transformed information.
idct(data, len)
Inverse Discrete Cosine Transform.
Parameters:
data (array<float>): Data source.
len (int): Length of the sampling window.
Returns: List with time domain transformed information.
idct(data, len)
Inverse Discrete Cosine Transform.
Parameters:
data (float): Data source.
len (int): Length of the sampling window.
Returns: List with time domain transformed information.
Biblioteca Pine
Siguiendo fielmente el espíritu TradingView, el autor ha publicado este código Pine como una biblioteca de código abierto, permitiendo que otros programadores de Pine en nuestra comunidad lo utilicen de nuevo. ¡Olé por el autor! Puede utilizar esta biblioteca de forma privada o en otras publicaciones de código abierto, pero tenga en cuenta que la reutilización de este código en una publicación se rige por las Normas internas.
Exención de responsabilidad
La información y las publicaciones que ofrecemos, no implican ni constituyen un asesoramiento financiero, ni de inversión, trading o cualquier otro tipo de consejo o recomendación emitida o respaldada por TradingView. Puede obtener información adicional en las Condiciones de uso.