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By replacing HashMap with TreeMap at line 2 in the Concordance class of Example 8.9, we obtain an ordered concordance:

A n ) = [4(;)"

- 3(-:)"]u(n)

The hash table is defined at line 2. It has type java.util.HashMap<String,String>, which means that both its key and value fields have type String. Its constructor at line 4 takes the name of the input file as its argument. It uses a java.util.Scanner object to read the file line by line. Each line is parsed by a java.util.StringTokenizer object named parser, defined at line 11. Note that the parser uses as

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private Map<String,String> map = new HashMap<String,String>();

One approach that we may use to solve this problem is to evaluate H ( z ) = Y ( z ) / X ( z ) and then compute the inverse z-transform. Note, however, that we are given the response of the system to a step with an amplitude of 2, and we are asked to find the unit sample response. Because

CHAP. 8]

h ( n ) = s ( n ) - s(n - 1)

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8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 What is the difference between a table and a vector Why is a table also called a map Why is a table also called an associative array Why is a table also called a dictionary What is a concordance What is a hash table What is the difference between the Java Hashtable class and the Java HashMap class The first two examples showed that the order of insertion into a hash table is irrelevant if there are no collisions. What if there are What are the advantages and disadvantages of quadratic probing compared to linear probing

y(n) = by(n - 1 )

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delimiters all of the 11 characters in the string ",.;:()-! '". Each parsed word is used as a key in the hash table. The corresponding value is the string of line numbers that is accumulated at lines 16 and 18. The write() method at line 29 uses a for-each loop to print the concordance to the specified file. At line 32, the map s entrySet() method returns a set of elements of type Map.Entry<String,String>. These are the key/value pairs that are stored in the hash table. Each key is a word from the input file and its entry is the list of the line numbers of the lines where that word appears in the text. Here is the test program:

+ i y ( n - 2) + x(n) - x(n - 1 )

CHAP. 8]

Find the system function, H ( z ) , and the unit sample response, h ( n ) .

1 2 3 4 5 6 7 8 9 10

To find the system function, we take the z-transform of the difference equation,

8.1 Run a program similar to the one in Example 8.1 on page 149 to insert the following 16 entries into the German-English dictionary:

Y(z)= f z - ' ~ ( z ) $ Z - ~ Y ( Z ) X(z) - z-Ix(z)

public class TestConcordance public static final String public static final String public static final String

Because the system is causal, the region of convergence is lzl z f . To find the unit sample response, we perform a partial fraction expansion of H ( z ) ,

map.put("Ast","gate"); map.put("Eis","ice"); map.put("Hof","court, yard, farm"); map.put("Hut","hat"); map.put("Lob","praise"); map.put("Mal","mark, signal"); map.put("Mut","courage"); map.put("Ohr","ear"); map.put("Ost","east"); map.put("Rad","wheel"); map.put("Rat","advice, counsel"); map.put("Tag","day"); map.put("Tor","gate"); map.put("Uhr","clock"); map.put("Wal","whale"); map.put("Zug","procession, train");

H (z) =

{ PATH = "B:\\DSWJ2\\src\\ch08\\ex09\\"; IN_FILE = "Shakespeare.txt"; OUT_FILE = "Shakespeare.out";

I y(n) = - 7 ( z )I "

Modify the Concordance class so that it filters out common words (pronouns, adverbs, etc.) whose listing would not contribute to new insights into the document. Store the common words in a separate file like the one shown in Figure 8.5. Modify the program in Example 8.1 on page 149 so that it stores the words in alphabetical order. Have it load the same data as in Problem 8.1 above and then print the table s contents in alphabetical order. Implement a FrequencyTable class for producing a list of words together with their frequency of occurrence in a specified text file.

~ ( n - +(2)"u(-n )

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