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It is often necessary to create a specific frequency to meet a control or other experimental requirement. We can use the generation of musical tones with square waves as an exercise for learning how to generate frequencies. We ll be generating eight standard notes, starting with the A4 at 440 cycles per second and going up from there (it may not be exactly instrument-grade 440 cps but will be an acceptable tone for our exercise). The Propeller is set to run at 10 MHz because we are using a 5 MHz crystal and a multiplier of two. We will assume that the logic engine is running at exactly 10 MHz for the purpose of this discussion and the experiment (it will be very close). Frequencies are generated by toggling a line up and down at a fixed rate. We will use equal-length high and low segments and vary the cycle time to get the note we want. With a processor running at 10 MHz, a 440 cps signal needs to toggle the line 440 2 times a second, or every 10,000,000/880 cycles of the system counter (10,000,000/880 =11,364 cycles). The frequencies for the eight notes we are interested in are as follows: Tone 1 2 3 4 5 6 7 8 A4 B4 C5 D5 E5 F5 G5 A5 Freq 440.00 493.883 523.251 587.330 659.255 698.456 783.991 880.00 Value Used 440 494 523 587 659 698 784 880

as a 1,000 mm span of Cu A model result showing the impact of an electrical path break in a thermal plane is shown in Fig 177 Here, a small 7 7 mm device with an exposed solder pad was intended to be cooled by a specific size of PCB area However, due to electrical constraints, a 025 mm electrical noise isolation break was placed halfway down the plane to produce a quiet island The PCB designer didn t think this would have much impact, but thermally, it cut the plane size by half As shown in the figure, there was a 29 C temperature drop across this single 025 mm break in the thermal plane and the component temperature increased by 33 C For best thermal performance, don t hamper thermal spreading in a thermal plane with continuous electrical isolation cuts.

Sometimes, the overall thermal performance of a PCB can be enhanced by carefully utilizing isolation cuts in the PCB to thermally segregate components that can afford to run at higher operating temperatures For example, if a series of power regulator components can operate at junction temperatures of 150 C but are dumping so much heat into the PCB that the digital components maximum junction temperatures are exceeded, it might be effective to cut the thermal plane between the power regulator components and digital portion of the PCB This design technique will cause the temperatures of the power components to rise, but will lower the temperatures of the digital components Of course, care must be taken to ensure the Cu connecting to the power regulation devices can carry the required current, so judicious application of this design technique is advised.

For the best spreading performance, the thickest possible Cu should be used in the construction of the thermal planes If a thermal plane is to be 05 oz Cu thickness (178 mm), it is wise to double this plane with another thermal plane, giving an effective 1 oz layer of Cu to spread the heat over the PCB surface Little additional advantage is gained when the thickness of all planes for spreading thermal energy is greater than 28 oz Cu 1733 Thermal Vias Thermal vias are simply those that connect the thermal lands or thermal collection plates to the thermal planes They are formed using the same processing techniques that are used for the PCB s electrical vias However, unlike electrical vias, the primary intent of a thermal via is that it conducts thermal energy efficiently into the thermal planes.

As such, a number of conditions should be met:.

There should be at least one thermal via associated with each thermal ball of a BGA package. The density of thermal vias under a thermal landing should be maximized within the limits of what can be allowed without degrading the PCB mechanical integrity. If the PCB uses through hole vias, the plating thickness should be maximized to optimize thermal conduction.

The 12th root of 2 is 1.05946309. A4 is now standardized at 440 Hz. The standard has varied from about 420 to 450 Hz over the last three centuries. The code segment shown in Program 17-1 will generate a 440 cps note (10,000,000/ (440*2)=11,364).