Questão_02

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Mathcad Professional 14.1
		 
			 
			 
			 VALE
			 Parametric Technology Corporation
			 
			 VALE
		
		 
			 2
			 9B766035-BCE1-4DAC-A1AD-A6068D1538D8
			 33686AAF-33D2-470F-A002-2DCBD6D3B8EB
			 00000000-0000-0000-0000-000000000000
			 00000000-0000-0000-0000-000000000000
		
	
	 
		 
			 
				 
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
					 
						 
						 
					
				
			
			 
				 
				 
					 
					 
					 
					 
					 
					 
					 
					 
					 
					 
				
				 
				 
				 
					 
					 
					 
				
			
			 
				 
				 
				 
			
			 
			 
		
		 
			 
			 
				 
			
			 
				 
			
		
		 
			 
			 
		
		 
		 
			 
		
	
	 
		 
			 
				 Exemplo Modulação Delta (DM) 
			
		
		 
			 
				 Um sinal sinusoidal de 10Vpp e 2,5KHz deve ser convertido em um sinal digital por modulação delta.
				 O tamanho de degrau dever ser de 5mV. Determine a taxa de relogio minima que vai permitir 
				 o sistema DM represente exatamente as mudanças do sinal analógico de entrada, isto é, evite 
				 sobrecarga de rampa.
			
		
		 
			 
				 Solução
			
		
		 
			 
				 A taxa mais rapida de mudança de uma onda senoidal, v(t)=V sen ωt, é a inclinção nos pontos de cruzamento por zero (t=0)
			
		
		 
			 
				 
					 f
					 
						 
						 2.5
						 
							 
							 10
							 3
						
					
				
			
			 
		
		 
			 
				 
					 ω
					 
						 
						 
							 
							 2
							 π
						
						 f
					
				
			
			 
		
		 
			 
				 
					 Δv
					 
						 
						 5
						 
							 
							 10
							 -3
						
					
				
			
			 
		
		 
			 
				 
					 Vpp
					 10
				
			
			 
		
		 
			 
				 
					 Vp
					 
						 
						 Vpp
						 2
					
				
			
			 
		
		 
			 
				 
					 Δt
					 
						 
						 Δv
						 
							 
							 ω
							 Vp
						
					
				
			
			 
		
		 
			 
				 
					 Δt
					 
						 6.3661977236758137E-08
					
				
			
			 
		
		 
			 
				 Delta t é a metade do periodo de relogio, por que os degraus ocorrem apenas nas transições 
				 positivas do relogio em um sistema pratico.
				 Dessa forma Trel=2*Δt=1/frel, de modo que
			
		
		 
			 
				 
					 frel
					 
						 
						 1
						 
							 
							 2
							 Δt
						
					
				
			
			 
		
		 
			 
				 
					 frel
					 
						 7853981.6339744832
					
				
			
			 
		
	
	 
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