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Sound ExprN1,ExprN2{,ExprN3} Makes the PC speaker create a sound at the frequency ExprN1 for a duration of ExprN2 milliseconds. The optional parameter ExprN3 is either true or false. If it is true then the sound is made in the background and if it is false the sound will stop the system for the duration of the note. Your program will still pause until the note nishes but the Windows operating system will not be paused if ExprN3 is true. The default for ExprN3, if you do not specify it, is true. Speaker ExprN This will turn the speaker off if ExprN is zero (off) or on if ExprN is other than zero (on). The notes played with the Sound command will play and will take the time required but no sound will be heard if the speaker is turned off. The speaker is on by default upon the start of the program. PlaySong ExprS This will play a song de ned by the string ExprS. The string will contain notes and other specs as de ned below:

(14.19)

The notes are A, A#, B, C, C#, D, D#, E, F, F#, G, G#, also P which is a pause You can use lower or upper case The # must immediately follow a note or it will be ignored Immediately after de ning the note you can specify a number to de ne the duration of the note This number can be any number greater than 0 and is usually 1, 2, 4, 8, 16, 32, or 64 But you can specify any number you desire The number will be used to calculate the duration of the note by dividing into the de ned tempo (see later) The formula is Duration = Tempo/Number You do not need to de ne duration all the time If a note does not have a duration de ned after it then the duration last de ned will be used.

(14.20)

CHAP. 19]

Now since the UW is just such a sequence, Eq. (14.20) gives the probability of a UW containing I errors. The condition for a miss occurring is that I E, and therefore, the miss probability is

If you have not previously de ned duration for a previous note then the duration will be 8 by default You de ne a tempo for the song and can change it at any time by specifying the letter T followed by a number The number will be in milliseconds So if you say T1500 then the tempo will be 1 and half seconds If you never de ne a tempo then it will be 1000 (ie, 1 second) by default You can de ne a scale for the song and can change it any time by specifying the letter S followed by a number The number must be in the range 0 to 6 This means that there are 7 scales and scale 3 is the middle C scale If you never de ne a scale it will be 4 by default.

(14.21)

Fig. 20-2

If you de ne a number greater than 6 it will be made to be 6 The letter P is taken to be a pause of the duration de ned as for the notes (see above) If the speaker is off (see the command Speaker ExprN) then the song will play but.

(14.22)

Equation (14.22) gives the average probability of missing the UW even though it is present in the shift register of the correlator. Note that because this is an average probability, it is not necessary to know any specific value of I.

The following example will play a song with the scale being 4 to start with then it will be changed to 3. Also the tempo will start as 1000 and will be changed to 1500 afterward. The notes A and B will play at 8th and then the rest will be played at 16th

Therefore, d(u2 ) dt du 2u dt du 2u dt du u dt d(x 2 + y2 ) dt d(x 2 ) d(y2 ) = + [by the power chain rule] dt dt dx dy = 2x + 2y [by the power chain rule] dt dt dx dy =x +y = 300x + 400y dt dt =

40! I!(40 10 I)!

PlaySong abc16dc#T1500dgS3abdg#

10 )

Now we must nd x, y, and u after 2 hours. Since x is increasing at the constant rate of 300 kilometers per hour and t is measured from the beginning of the ight, x = 300t (distance = speed time, when speed is constant). Similarly, y = 400t. Hence, at t = 2, x = 300(2) = 600 y = 400(2) = 800

3 40 I

The following will play the song Jingle Bells followed by La Cucaracha. Notice how you have versatility in de ning and playing the songs. Also notice how the scale is changed in the La Cucaracha song.

Consider now a sequence of N which is not the UW but which would be interpreted as the UW even if it differs

data Jingles; T1000S4E8EP32E4P32E8EP32E4P32E8GP32C4 data Jingles; D16P32E2P16F8FP32F8F16P32F8EP32E8 data Jingles; E16P32G8GFDP32C2 Cucaracha = T2500S4C16CCP64F8P64A7C16CCP64F8P64 Cucaracha = Cucaracha+ A7F16F8P64E16EP64D16DP64C4 Cucaracha = Cucaracha+ P32S4C16CCP64E8P64G7C16CCP64 Cucaracha = Cucaracha+ E8P64G7S5C8D16P64C16S4A#16 Cucaracha = Cucaracha+ AGP64F8P4 playsong Jingles[0] playsong Jingles[1] playsong Jingles[2] Delay 1000 \playsong Cucaracha