function frameF = filterbank(frameT, frameType, winType)
%Implementation of the Filter Bank step
%   Usage frameF = filterbank(frameT, frameType, winType), where:
%       Inputs
%       - frameT is a frame in the time domain, containing both channels of
%           the audio stored in an array of dimensions 2048X2
%       - frameType is the type of the current frame in string
%       representation, can be one of "OLS" (ONLY_LONG_SEQUENCE), "LSS"
%       (LONG_START_SEQUENCE), "ESH" (EIGHT_SHORT_SEQUENCE), "LPS"
%       (LONG_STOP_SEQUENCE)
%       - winType is the type of the window selected, can be one of "KBD",
%       "SIN"
%
%       Output
%       - frameF is the frame in the frequency domain, in MDCT coefficients
%       representation containing both channels of the audio stored in an
%       array of dimensions 1024X2

    % Declares persistent windows variables and initializes if empty
    persistent kaiserWindowLong kaiserWindowShort sinWindowLong sinWindowShort;
    if isempty(kaiserWindowLong) || isempty(kaiserWindowShort) || ...
            isempty(sinWindowLong) || isempty(sinWindowShort)
        kaiserLong = kaiser(1024, 6*pi);
        kaiserSumLong = sum(kaiserLong);
        kaiserShort = kaiser(128, 4*pi);
        kaiserSumShort = sum(kaiserShort);

        for n = 1:1024
            kaiserWindowLong(n) = sqrt(sum(kaiserLong(1:n))/kaiserSumLong);
            kaiserWindowLong(1024 + n) = sqrt(sum(kaiserLong(1:end-n+1))/kaiserSumLong);

            sinWindowLong(n) = sin(pi*(n + 0.5)/2048);
            sinWindowLong(1024 + n) = sin(pi*(1024 + n + 0.5)/2048);

        end

        for n = 1:128
            kaiserWindowShort(n) = sqrt(sum(kaiserShort(1:n))/kaiserSumShort);
            kaiserWindowShort(128 + n) = sqrt(sum(kaiserShort(1:end-n+1))/kaiserSumShort);

            sinWindowShort(n) = sin(pi*(n + 0.5)/256);
            sinWindowShort(128 + n) = sin(pi*(128 + n + 0.5)/256);
        end
    end

    frameF(1024, 2) = 0;

    % Applies appropriate window to the frame
    for channel=1:2
        if strcmp(frameType, 'OLS')
            if strcmp(winType, 'KBD')
                frameT(:, channel) = frameT(:, channel) .* kaiserWindowLong(:);
            elseif strcmp(winType, 'SIN')
                frameT(:, channel) = frameT(:, channel) .* sinWindowLong(:);
            else
                error('filterbank, l[20]: Unsupported window type input!')
            end

            frameF(:, channel) = mdct4(frameT(:, channel));
        elseif strcmp(frameType, 'LSS')
            if strcmp(winType, 'KBD')
                frameT(1:1024, channel) = frameT(1:1024, channel) .* kaiserWindowLong(1:1024)';
                frameT(1473:1600, channel) = frameT(1473:1600, channel) .* kaiserWindowShort(129:end)';
                frameT(1601:end, channel) = 0;
            elseif strcmp(winType, 'SIN')
                frameT(1:1024, channel) = frameT(1:1024, channel) .* sinWindowLong(1:1024)';
                frameT(1473:1600, channel) = frameT(1473:1600, channel) .* sinWindowShort(129:end)';
                frameT(1601:end, channel) = 0;
            else
                error('filterbank, l[20]: Unsupported window type input!')
            end

            frameF(:, channel) = mdct4(frameT(:, channel));
        elseif strcmp(frameType, 'LPS')
            if strcmp(winType, 'KBD')
                frameT(1:448, channel) = 0;
                frameT(449:576, channel) = frameT(449:576, channel) .* kaiserWindowShort(1:128)';
                frameT(1025:end, channel) = frameT(1025:end, channel) .* kaiserWindowLong(1025:end)';
            elseif strcmp(winType, 'SIN')
                frameT(1:448, channel) = 0;
                frameT(449:576, channel) = frameT(449:576, channel) .* sinWindowShort(1:128)';
                frameT(1025:end, channel) = frameT(1025:end, channel) .* sinWindowLong(1025:end)';
            else
                error('filterbank, l[20]: Unsupported window type input!')
            end

            frameF(:, channel) = mdct4(frameT(:, channel));
        elseif strcmp(frameType, 'ESH')
            % Splits the frame into sub-frames
            [subFrames, ~] = buffer(frameT(449:end-448, channel), 256, 128, 'nodelay');

            if strcmp(winType, 'KBD')
                subFrames = subFrames .* repmat(kaiserWindowShort', [1 8]);
            elseif strcmp(winType, 'SIN')
                subFrames = subFrames .* repmat(sinWindowShort', [1 8]);
            end

            for subFrameIndex = 1:8
                frameF((subFrameIndex - 1) * 128 + 1:subFrameIndex * 128, channel) = mdct4(subFrames(:, subFrameIndex));
            end
        end
    end
end