Created 3 new functions, see in description

Created functions bandreject_filter(), fade_in(), and fade_out(). Should be in the standards asked, but if not please contact me

bandreject_filter.m

@@ -0,0 +1,62 @@
+function output_y = bandreject_filter(Input, Fs, Low, High)
+    % A filter that lets through most frequencies unaltered
+    % but attentuates the frequencies in the specified range to
+    % very low levels
+    % (basically exliminates them)
+    % By Yalu Ouyang
+    
+
+    % Input: the input signal in the time domain
+    % Fs: the sampling frequency
+    % Low: the lower limit of the specified range
+    % High: the upper limit of the specified range
+    % Returns Output: the filtered signal in the time domain
+
+    len = length(Input);
+    
+    F = Fs * (-len/2 : (len/2 - 1)) / len ;
+    
+    % modified signal in the frequency domain
+    % using Fourier Transform
+    mod_freq = fftshift(fft(Input));
+    
+    len_f = length(mod_freq);
+    
+    % use this array to record the frequencies
+    % that should pass through
+    % 0 indicates reject
+    % 1 indicates pass
+    multiplier =  zeros([1,len_f]); 
+    
+    for index = 1 : len_f
+
+        % within range of band reject
+        % so elminate these frequencies
+        if ((Low < abs(F(index))) && (abs(F(index)) < High))
+            multiplier(index) = 0;
+        
+        % outside of specified range
+        % so shoudln't be altered
+        else
+            multiplier(index) = 1;
+        end
+    end
+    
+    % filtered signal in the frequency domain
+    filtered_mod_freq = fftshift(mod_freq .* multiplier);
+    
+    % convert signal back to the time domain
+    Output = real(ifft(filtered_mod_freq));
+    
+end
+
+% This function is useful for eliminating
+% unwanted signals that have frequencies close to the 
+% median frequency of the original signal
+% (consider overall frequencies as one part, 
+% this elminates the middle portion)
+
+% Fourier transform is applied in this function
+% to make it easier to eliminate specified 
+% frequencies of the signal
+% (easier to do so in the frequency domain)

fade_in.m

@@ -0,0 +1,29 @@
+function output = fade_in(input, time)
+    % Creates a fade-in sound effect that lasts a given
+    % time parameter of the input sound signal
+    % By Yalu Ouyang
+    
+
+    % input: a 1D array that represents the sound signal in the time domain
+    % time: how long the fade in effect should last
+    % Shouldn't be longer than the input signal (in which case the function
+    % treats it as the duration of the signal)
+    % Returns modified signal in the time domain (output).
+    
+    len = length(input);
+    
+    % if time parameter longer than signal, treat time as
+    % the duration of original signal
+    if time > len
+        time = len
+    end
+
+    % set multiplier as 1D array
+    % fade in effect: from no volume to full volume of signal
+    multiplier = (1 : time) / time;
+
+    % the resulting fade-in output  
+    output = input .* multiplier;
+end
+
+% This is useful for making videos, specifically the intro part 

fade_out.m

@@ -0,0 +1,32 @@
+function output = fade_out(input, time)
+    % Creates a fade-out sound effect that lasts a given
+    % time parameter of the input sound signal
+    % By Yalu Ouyang
+    
+    % input: a 1D array that represents the sound signal in the time domain
+    % time: how long the fade out effect should last
+    % Shouldn't be longer than the input signal 
+    % (in which case the function treats it as the duration of the signal)
+    % Returns modified signal in the time domain (output).
+    
+    len = length(input);
+    
+    % if time parameter longer than signal, treat time as
+    % the duration of original signal
+    if time > len
+        time = len
+    end
+
+    % set multiplier as 1D array
+
+    multiplier = (1 : time) / time;
+
+    % fade out effect: from full volume of signal to no volume
+    multiplier = flip(multiplier)
+
+    % the resulting fade-in output  
+    output = input .* multiplier;
+end
+
+
+% This is useful for creating videos, specifically the outro part