How could i filter the listview using baseadapter

Here you go. A simple baseadapter (no view recycling) that will display, and filter, a list of some custom arbitary object. In this example Object.name is the field we will use to filter.

1) In your activity, (or) where you create your ListView, enable text filtering:

class MyObject {
    public String name;
}
List<MyObject> myData = ArrayList<>();

listview.setTextFilterEnabled(true);

2) As you already noted, in a textwatcher of an Edittext, trigger the filter on the ListAdapter:

public void onTextChanged(CharSequence s, int start, int before, int count) {
    listadapter.getFilter().filter(s);   
}

3) in your baseadapter, implement Filterable. And store two copies of the data, one original, and one filtered. Be sure to access the filtered data throughout the BaseAdapter, not the unfiltered data

public class FilterableListAdapterExample extends BaseAdapter implements Filterable {

private List<MyObject> mData; //the original data
private List<MyObject> mDataFiltered;//the filtered data
private LayoutInflater mLayoutInflater;

public FilterableListAdapterExample(Context context, List<MyObject> data) {
    mData = data;
    mDataFiltered=data;
    mLayoutInflater = LayoutInflater.from(context);
}

@Override
public View getView(int position, View convertView, ViewGroup parent) {
    convertView= mLayoutInflater.inflate(R.layout.listview_item, null);
    TextView textview=(TextView)convertView.findViewById(R.id.listitem_textview);
    //note: we access mDataFiltered, not mData
    textview.setText(mDataFiltered.get(position).name); 
    return convertView;
}

@Override
public long getItemId(int position) {
    return position;
}

@Override
public int getCount() {
    return mDataFiltered.size();
}

@Override
public Filter getFilter() {
    return new Filter() {
        @Override
        protected FilterResults performFiltering(CharSequence constraint) {
            FilterResults results = new FilterResults();
            if (constraint == null || constraint.length() == 0) {
                //no constraint given, just return all the data. (no search)
                results.count = mData.size();
                results.values = mData;
            } else {//do the search
                List<MyObject> resultsData = new ArrayList<>();
                String searchStr = constraint.toString().toUpperCase();
                for (MyObject o : mData)
                    if (o.name.toUpperCase().startsWith(searchStr)) resultsData.add(o);
                results.count = resultsData.size();
                results.values = resultsData;
            }
            return results;
        }

        @Override
        protected void publishResults(CharSequence constraint, FilterResults results) {
            mDataFiltered = (ArrayList<MyObject>) results.values;
            notifyDataSetChanged();
        }
    };
}

}


MainActivity.java

public class MainActivity extends Activity {

private ListView mListView;
private CustomAdapter mCustomAdapter;
private EditText mEditText;
private ArrayList<Contacts> _Contacts = new ArrayList<Contacts>();

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.main);

    for (int i = 0; i < 100; i++) {
        Contacts contacts = new Contacts();
        contacts.setId(""+i);
        contacts.setName("Name "+i);
        _Contacts.add(contacts);
    }


    mListView = (ListView) findViewById(R.id.listView1);
    mEditText = (EditText) findViewById(R.id.editText1);

    mCustomAdapter = new CustomAdapter(MainActivity.this, _Contacts);
    mListView.setAdapter(mCustomAdapter);

    mEditText.addTextChangedListener(new TextWatcher() {

        @Override
        public void onTextChanged(CharSequence arg0, int arg1, int arg2, int arg3) {
            mCustomAdapter.getFilter().filter(arg0);
        }

        @Override
        public void beforeTextChanged(CharSequence arg0, int arg1, int arg2,
                int arg3) {
        }

        @Override
        public void afterTextChanged(Editable arg0) {

        }
    });
}

}

CustomAdapter.java

public class CustomAdapter extends BaseAdapter implements Filterable{

private ArrayList<Contacts> _Contacts;
private Activity context;
private LayoutInflater inflater;
private ValueFilter valueFilter;
private ArrayList<Contacts> mStringFilterList;

public CustomAdapter(Activity context, ArrayList<Contacts> _Contacts) {
    super();
    this.context = context;
    this._Contacts = _Contacts;
    mStringFilterList =  _Contacts;
    this.inflater = (LayoutInflater) context.getSystemService(Context.LAYOUT_INFLATER_SERVICE);
     getFilter();
}

@Override
public int getCount() {
    return _Contacts.size();
}

@Override
public Object getItem(int position) {
    return _Contacts.get(position).getName();
}

@Override
public long getItemId(int position) {
    return 0;
}

public class ViewHolder {
    TextView tname, tplace;
}

@Override
public View getView(int position, View convertView, ViewGroup parent) {
    ViewHolder holder;
    if (convertView == null) {
        holder = new ViewHolder();
        convertView = inflater.inflate(R.layout.activity_main, null);
        holder.tname = (TextView) convertView.findViewById(R.id.textView1);
        holder.tplace = (TextView) convertView.findViewById(R.id.textView2);
        convertView.setTag(holder);
    } else
        holder = (ViewHolder) convertView.getTag();
    holder.tname.setText("" + _Contacts.get(position).getName());
    holder.tplace.setText("" + "" + _Contacts.get(position).getId());
    return convertView;
}

@Override
public Filter getFilter() {
    if(valueFilter==null) {

        valueFilter=new ValueFilter();
    }

    return valueFilter;
}
private class ValueFilter extends Filter {

    //Invoked in a worker thread to filter the data according to the constraint.
    @Override
    protected FilterResults performFiltering(CharSequence constraint) {
        FilterResults results=new FilterResults();
        if(constraint!=null && constraint.length()>0){
            ArrayList<Contacts> filterList=new ArrayList<Contacts>();
            for(int i=0;i<mStringFilterList.size();i++){
                if((mStringFilterList.get(i).getName().toUpperCase())
                        .contains(constraint.toString().toUpperCase())) {
                    Contacts contacts = new Contacts();
                    contacts.setName(mStringFilterList.get(i).getName());
                    contacts.setId(mStringFilterList.get(i).getId());
                    filterList.add(contacts);
                }
            }
            results.count=filterList.size();
            results.values=filterList;
        }else{
            results.count=mStringFilterList.size();
            results.values=mStringFilterList;
        }
        return results;
    }


    //Invoked in the UI thread to publish the filtering results in the user interface.
    @SuppressWarnings("unchecked")
    @Override
    protected void publishResults(CharSequence constraint,
            FilterResults results) {
        _Contacts=(ArrayList<Contacts>) results.values;
        notifyDataSetChanged();
    }
}
}

Contacts.java

public class Contacts {

private String name;
private String id;

public String getName() {
    return name;
}
public void setName(String name) {
    this.name = name;
}
public String getId() {
    return id;
}
public void setId(String id) {
    this.id = id;
}
}

main.xml

<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:orientation="vertical" >

<EditText
    android:id="@+id/editText1"
    android:layout_width="match_parent"
    android:layout_height="wrap_content"
    android:ems="10" >

    <requestFocus />
</EditText>

<ListView
    android:id="@+id/listView1"
    android:layout_width="match_parent"
    android:layout_height="wrap_content" >
</ListView>

activity_main.xml

<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:tools="http://schemas.android.com/tools"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:layout_marginBottom="2dp"
android:layout_marginLeft="1dp"
android:layout_marginRight="1dp"
android:layout_marginTop="2dp"
android:background="@android:color/black"
android:gravity="center_vertical"
android:paddingBottom="2dp"
android:paddingTop="2dp"
tools:context=".MainActivity" >


<TextView
    android:id="@+id/textView1"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:layout_marginLeft="8dp"
    android:text="Large Text"
    android:textAppearance="?android:attr/textAppearanceLarge"
    android:textColor="@android:color/white" />

<TextView
    android:id="@+id/textView2"
    android:layout_width="wrap_content"
    android:layout_height="wrap_content"
    android:layout_marginLeft="8dp"
    android:text="Small Text"
    android:textAppearance="?android:attr/textAppearanceSmall"
    android:textColor="@android:color/white" />

This is a sample project code. Use this code this will really help you